Books |
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NEW! NEW! P. Brass, W. Moser, J. Pach:
Otkrytye Problemy Diskretnoy Geometrii (Open Problems in Discrete Geometry, in Russian) Publishing House of the Center for Continuing Mathematics Education, 119002 Moscow, Russian Federation, 2021. |
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New Trends in Intuitive Geometry, (G. Ambrus, I. Bárány, K. J. Böröczky, G. Fejes Tóth, and J. Pach, editors) Bolyai Society Mathematical Studies 27, Springer-Verlag, New York, 2018. |
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Geometry - Intuitive, Discrete, and Convex, (I. Bárány, K. J. Böröczky, G. Fejes Tóth, and J. Pach, editors) Bolyai Society Mathematical Studies 24, Springer-Verlag, New York, 2013. |
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J. Pach (Ed.): Thirty Essays in Geometric Graph Theory, Springer-Verlag, New York, 2013. |
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J. Pach, M. Sharir:
Combinatorial Geometry and Its
Algorithmic Applications: The Alcala Lectures, Math. Surveys and Monographs v. 152, American Mathematical Society, Providence, 2009. |
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Twentieth Anniversary Volume: Discrete & Computational Geometry (J. E. Goodman, J. Pach, and R. Pollack, editors) Springer-Verlag, Berlin-Heidelberg-New York, 2009. | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||

Surveys
on Discrete and Computational Geometry: Twenty Years Later (J. E. Goodman, J. Pach, and R. Pollack, editors). Contemporary Mathematics 453, American Mathematical Society, Providence, 2008. |
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P. Brass, W. Moser and J. Pach:
"Research Problems in Discrete Geometry", Springer-Verlag, New York, 2005. Facsimile edition: China Science Press, Beijing, 2006 Japanese translation: Springer, Tokyo, 2009. |
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J.E. Goodman, J. Pach, E. Welz (Eds.) :
"Combinatorial and Computational Geometry", Cambridge University Press, Cambridge, 2005. |
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J. Pach (Ed.): "Graph Drawing", Springer-Verlag, Berlin, 2005. | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||

J. Pach (Ed.): "Towards a Theory of Geometric Graphs", American Mathematical Society, Providence, 2004. |
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B. Aronov, S. Basu, J. Pach and M. Sharir (Eds.):
"Discrete and Computational Geometry", Springer-Verlag, Berlin, 2003. |
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J. Pach and P. Agarwal: "Combinatorial Geometry", J. Wiley, New York, 1995. Chinese translation, Chinese Science Press (CSP), Beijing, 2008. |
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• J. Pach (Ed.): "New Trends in Discrete and Computational Geometry", Springer-Verlag, Berlin, 1993. |
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List of publications |
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[1] On metric properties of countable graphs, Matematikai Lapok 26 (1975), 305-310 (in Hungarian). [2] On super-universal graphs, Studia Sci. Math. Hung. 12 (1977), 19-27. [3] On the permeability problem, Studia Sci. Math. Hung. 12 (1977), 419-424. [4] Random graphs, M. Sc. Thesis, Budapest, 1977 (in Hungarian). [5] On an isoperimetric problem, Studia Sci. Math. Hung. 13 (1978), 43-45. [6] Graphs of diameter 2 and linear programming (with L. Surányi), Coll. Math. Soc. J. Bolyai 25. Algebraic Methods in Graph Theory 599-629, North-Holland, 1978. [7] Note on a problem of Erdős and Katona, Ars Combinatoria 9 (1980), 27-31. [8] On universal graphs, Ph.D. Thesis, Budapest, 1980 (in Hungarian). [9] Decomposition of multiple packing and covering, 2. Kolloquium über Diskrete Geometrie, Salzburg (1980), 169-178. [10] On a problem of L. Fejes Tóth (with P. Erdős), Discrete Mathematics 30 (1980), 103-109. [11] L. Lovász: Combinatorial Problems and Exercises (Book review). Magyar Tudomány 4 (1980), 313-314. [12] On graphs of diameter 2 (with L. Surányi), Ars Combinatoria 11 (1981), 61-78. [13] Graphs whose every independent set has a common neighbour, Discrete Mathematics 37 (1981), 217-228. [14] A problem of Ulam on planar graphs, European Journal of Combinatorics 2 (1981), 357-361. [15] Mixed volume and the van der Waerden conjecture, Matematikai Lapok 29 (1981), 49-60 (in Hungarian). [16] Helly's theorem with volumes (with I. Bárány and M. Katchalski), American Mathematical Monthly, June-July 1984, 362-365. [17] Quantitative Helly-type theorems (with I. Bárány and M. Katchalski), Proceedings of the Amer. Math. Soc. 86 (1982), 109-114. [18] Mathematical time bomb, Magyar Tudomány 1981/10, 746-749 (in Hungarian). [19] On a quasi-Ramsey problem (with P. Erdős), Journal of Graph Theory 7 (1983), 137-147. [20] Controlling function classes and covering Euclidean space (with E. Makai, Jr.), Studia Math. Sci. Hung., 18 (1983), 435-459. [21] On the number of sets in a null-t-design (with P. Frankl), European Journal of Combinatorics 4/1 (1983), 21-23. [22] Partly convex Peano curves (with C. A. Rogers), Bulletin of the London Math. Soc. 15 (1983), 321-328. [23] Advanced Problem No. 6421 (with J. Beck and F. Galvin), American Math. Monthly 90 (1983), 134. [24] Monochromatic paths in infinite coloured graphs (with A. Hajnal) Coll. Math. Soc. J. Bolyai 37, Finite and Infinite Sets (A. Hajnal et. al. eds), North-Holland, Amsterdam, 1984, 359-364. [25] On locally Hamiltonian graphs (with G. O. H. Katona, A. Kostochka and B. Stechkin), Mat. Zametki 45 (1989), 36-42. [26] Discrete convex functions and proof of the six circle conjecture of Fejes Tóth (with I. Bárány and Z. Füredi), Can. J. Math. 36 (1984), 569-576. [27] On disjointly representable sets (with P. Frankl), Combinatorica 4 (1984), 39-45. [28] The Analysis Incarnate -- Leonhard Euler, Magyar Tudomány 1984/3, 203-223 (in Hungarian). [29] The Mathematician of the Enlightenment, Középiskolai Matematikai Lapok 34 (1984), 1-3 (in Hungarian). [30] Remarks on stars and independent sets (with P. Erdős), in: Aspects of Topology (I. M. James and E. H. Kronheimer, eds.), Cambridge University Press, 1984, 307-314. [31] A point set everywhere dense in the plane (with K. Bezdek), Elemente der Mathematik, 40 (1985), 81-84. [32] How to build a barricade (with P. Frankl and V. Rödl), Monatshefte für Mathematik 93 (1984), 93-98. [33] Maximal volume enclosed by plates and proof of the chessboard conjecture (with I. Bárány, K. Böröczky and E. Makai, Jr.), Discr. Math. 60 (1986), 101-120. [34] Universal graphs without large bipartite subgraphs (with P. Komjáth), Mathematika, 31 (1984), 282-290. [35] 2-super-universal graphs (with L. Surányi), Proceedings of the Fourth International Graph Theory Conference, Kalamazoo, 1984, John Wiley (1985), 623-636. [36] Bounding one-way differences (with P. Frankl and Z. Füredi), Graphs and Combinatorics 3 (1987), 341-347. [37] Covering the plane with convex polygons, Discr. and Comput. Geometry 1 (1986), 73-81. [38] On the union of Jordan regions and collision-free translational motion amidst polygonal obstacles (with K. Kedem, R. Livne and M. Sharir), Discr. and Comput. Geometry 1 (1986), 59-71. [39] How to make a graph bipartite (with P. Erdős, R. Faudree and J. Spencer), J. Combin. Th. Series B 45 (1988), 86-98. [40] On the mean distance between points of a graph (with P. Erdős and J. Spencer), 250th Anniversary Conference on Graph Theory (Fort Wayne, 1986), Congressus Numerantium 64 (1988), 121-124. [41] On the big unsolved problems in elementary geometry, Magyar Tudomány 1986/2, 120-131 (in Hungarian). [42] Cutting a graph into dissimilar halves (with P. Erdős, M. Goldberg and J. Spencer), J. Graph Theory 12 (1988), 121-131. [43] An upper bound for families of linearly related plane convex sets (with T. Bisztriczky), Archiv der Math. 50 (1988), 56-58. [44] Repeated distances in space (with D. Avis and P. Erdős), Graphs and Combinatorics 4 (1988), 207-217. [45] 100 Research Problems in Discrete Geometry (with W. O. J. Moser), mimeographed . Research Problems in Discrete Geometry (with P. Brass and W. Moser), Springer-Verlag, New York, 2005. [46] Note on vertex-partitions of infinite graphs (with J. Spencer), Discr. Math. 79 (1989/90), 107-108. [47] Explicit codes with low covering radius (with J. Spencer), IEEE Transactions of Information Theory 34 (1988), 1281-1285. [48] An extremal problem on Kr-free graphs (with P. Frankl), J. Graph Theory 12 (1988), 519-523. [49] Decomposition problems for multiple coverings with unit balls (with P. Mani), manuscript. [50] Radius, diameter and minimum degree (with P. Erdős, R. Pollack and Zs. Tuza), Journal of Combinatorial Theory B 47 (1989), 73-79. [51] Mountain climbing, ladder moving, and the ring width of a polygon (with J. E. Goodman and Chee K. Yap), Amer. Math. Monthly 96 (1989), 494-510. [52] On the lower envelope of bivariate functions and its applications (with H. Edelsbrunner, J. T. Schwartz and M. Sharir), Proc. 28th FOCS Symposium 1987, 27-38. [53] Some universal graphs (with P. Komjáth and A. H. Mekler), Israel Journal of Mathematics 64 (1988), 158-168. [54] On arrangements of Jordan arcs with three intersections per pair (with H. Edelsbrunner, L. Guibas, J. Hershberger, R. Pollack, R. Seidel, M. Sharir and J. Snoeyink), Proc. 4th ACM Symposium on Computational Geometry, 1988, 258-265. See also Discrete and Comp. Geom. 4 (1989), 523-539. [55] Arrangements of curves in the plane - Topology, Combinatorics and Algorithms (with H. Edelsbrunner, L. Guibas, R. Pollack, R. Seidel and M. Sharir). '88 ICALP Proc. 214-229. Also in: Theoretical Computer Science 92 (1992), 319-336. [56] A problem of Leo Moser about repeated distances on the sphere (with P. Erdős and D. Hickerson), Amer. Math. Monthly 96 (1989), 569-575. [57] Small sets supporting Fáry embeddings of planar graphs (with H. de Fraysseix and R. Pollack), 20th STOC Symposium 1988, 426- 433. Almost identical with: How to draw a planar graph on a grid, Combinatorica 10 (1990), 41-51. [58] The upper envelope of piecewise linear functions and the boundary of a region enclosed by convex plates: Combinatorial analysis (with M. Sharir), Discrete and Computational Geom. 4. (1989), 291-309. [59] Delicate symmetry, Computers and Mathematics with Applications 17 (1989), 117-124. [60] Isomorphic subgraphs in a graph (with P. Erdős and L. Pyber), in: Combinatorics, Coll. Math. Soc. J. Bolyai 52 (1988), 553-556. [61] On the average volume of subsets in Euclidean d-space (with N. Sauer),
European J. Combinatorics 12 (1991), 417-421.[62] Problem on convex polygons, James Cook Math. Notes 5 (1988), 5116-5117. [63] Cell decomposition of polygons by bending (with J. E. Goodman), Israel J. Math. 64 (1988), 129-138. [64] On vertical visibility in arrangements of segments and the queue size in the Bentley-Ottman line sweeping algorithm (with M. Sharir), SIAM J. Computing 20 (1991), 460-470. [65] Embedding a planar triangulation with vertices at specified points (with P. Gritzmann, B. Mohar, and R. Pollack), Amer. Math. Monthly 98 (1991), 165-166. [66] On the game of Misery, Studia Sci. Math. Hung. 27 (1992), 353-358. [67] On the maximal number of certain subgraphs in Kr-free
graphs (with E. Győri and M. Simonovits), Graphs and Combinatorics 7 (1991),
31-37.[68] Large discs in convex unions (with C. A. Rogers), American Math. Monthly 95 (1988), 765-767. [69] Variations on the theme of repeated distances (with P. Erdős), Combinatorica 10 (1990), 261-269. [70] On the structure of a system of stars in graphs (Russian, with Armenian summary), Mat. Voprosy Kibernet. Vychisl. Tekhn. 15 (1988), 165-173 (MR 90j:05079). [71] An upper bound on the number of planar k-sets (with W. Steiger and E. Szemerédi), Proc. 30th FOCS Symposium, l989, 72-81. Also in: Discrete Comput. Geom. 7 (1992), 109-123. [72] Towards a new geometry, Magyar Tudomány 1990/8, 895-903 (in Hungarian). [73] Weaving patterns of lines and line segments in space (with R. Pollack and E. Welzl), Proc. SIGAL Internat. Symposium on Algorithms, Tokyo Lecture Notes in Comp. Sci. 450 (1990), 439-446, Springer. Also in: Algorithmica 9 (1993), 561-571. [74] Graph distance and Euclidean distance on the grid (with R. Pollack and J. 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[208] A bipartite analogue of Dilworth's theorem for multiple partial orders (with J. Fox), European J. Combinatorics 30 (2009), 1846-1853. [209] Delaunay graphs of point sets in the plane with respect to axis-parallel rectangles (with X. Chen, M. Szegedy, and G. Tardos), Symp. on Discrete Algorithms (SODA 2008), ACM, New York–SIAM, Philadelphia, 2008, 94-101. Also in: Random Structures and Algorithms 34 (2009), 11-23. [210] Decomposition of multiple coverings into many parts (with G. Tóth), 23rd ACM Symposium on Computational Geometry, ACM Press, New York, 2007, 133-137. Also in: Discrete and Computational Geometry 42 (2009), 127-133. [211] On regular vertices of the union of planar objects (with E. Ezra and M. Sharir), 23rd ACM Symposium on Computational Geometry, ACM Press, New York, 2007, 220-226. Also in: Discrete and Computational Geometry 41 (2009), 216-231. [212] Separator theorem and Turán-type results for planar intersection graphs (with J. Fox), Advances in Mathematics 219 (2008), 1070-1080. [213] Turán-type results for partial orders and intersection graphs of convex sets (with J. Fox and Cs. D. Tóth), Israel J. Math. 178 (2010), 29-50. [214] Erdos--Hajnal-type results on intersection patterns of geometric objects (with J. Fox), in: Horizons of Combinatorics (E. Győri, ed.), Bolyai Soc. Math. Studies 17, J. Bolyai Mathematical Soc., Budapest, 2008, 79-103. [215] Intersection patterns of curves (with J. Fox and Cs. D. Tóth), J. London Math. Soc., accepted. [216] Points surrounding the origin (with A. Holmsen and H. Tverberg), Combinatorica 28 (2008), 633-634. [217] A bipartite strengthening of the Crossing Lemma (with J. Fox and Cs. D. Tóth), in: Graph Drawing (S.-H. Hong, T. Nishizeki, eds.), Lecture Notes in Computer Science 4875, Springer-Verlag, Berlin, 2008, 13-24. Also in J. Combinat. Theory Ser. B 100 (2010), 23-35. [218] Coloring axis-parallel rectangles (with G. Tardos), Computational Geometry and Graph Theory (KyotoCGGT2007), Lecture Notes in Computer Science, Vol. 4535, Springer-Verlag, Berlin, 2008, 178-185. Also in: J. of Combinatorial Theory Ser. A, accepted. [219] Coloring K_k-free intersection graphs of geometric objects in the plane (with J. Fox), SoCG 2008, ACM Press, New York, 2008, 346-354. Also in: European J. Combinatorics, to appear. [220] Families of convex sets not representable by points (with G. Tóth), in: Indian Statistical Institute Platinum Jubilee Commemorative Volume--Architecture and Algorithms (B. B. Bhattacharya et al., eds.), World Scientific, Singapore, 2009, 43-53. [221] State of the Union--of Geometric Objects (with P.K. Agarwal and M. Sharir), Surveys in Discrete and Computational Geometry Twenty Years Later (J. E. Goodman et al., eds.), Contemporary Mathematics, AMS, Providence, RI, vol. 453, AMS, Providence, RI, 2008, 9-48. [222] Crossing numbers of imbalanced graphs (with J. Solymosi and G. Tardos), J. Graph Theory, accepted. [223] Intersecting convex sets by rays (with R. Fulek and A. Holmsen), in: Proceedings 24th annual Symposium on Computational Geometry, ACM Press, 2008, 385-391. Also in: Discrete and Computational Geometry 42 (2009), 343-358. [224] Convexly independent subsets of the Minkowski sum of planar point sets (with F. Eisenbrand, T. Rothvoss, and N. Sopher), Electronic J. of Combinatorics 15 (2008), N8. [225] Monochromatic empty triangles in two-colored point sets (with G. Tóth), in: Geometry, Games, Graphs and Education: the Joe Malkevitch Festschrift (S. Garfunkel, R. Nath, eds.), COMAP, Bedford, MA, 2008, 195-198. Also in: Discrete Applied Mathematics 161 (2013), 1259-1261. [226] Conflict-free colorings of graphs and hypergraphs (with G. Tardos), Combinatorics, Probability and Computing 18 (2009), 819-834. [227] On grids in topological graphs (with E. Ackerman, J. Fox, and A. Suk), in: Proceedings 24th annual Symposium on Computational Geometry, ACM Press, 2009, 403-412. [228] Cubic graphs have bounded slope parameter (with B. Keszegh, D. Pálvölgyi, and G. Toth), in: Graph Drawing 2008 (I. G. Tollis and M. Patrignani, eds.), Lecture Notes in Computer Science 5417, Springer-Verlag, Berlin, 2009, 50-60. Also in: J. Graph Algorithms and Applications 14 (2010), 5-17. [229] Combinatorial Geometry and its Algorithmic Applications: The Alcala Lectures (with M. Sharir), Mathematical Surveys and Monographs, Vol. 152, AMS, Providence, 2009. [230] A separator theorem for string graphs and its applications (with J. Fox). In: WALCOM: Algorithms and Computation, Lecture Notes in Computer Science 5431, Springer-Verlag, Berlin, 2009, 1-14. Also in: Combinatorics, Probability and Computing 19 (2010), 371-390. [231] Drawing Hamiltonian cycles with no large angles (with A. Dumitrescu and G. Tóth), Graph Drawing 2009, Lecture Notes in Computer Science 5849, Springer-Verlag, Berlin, 2010, 3-14. Also in: Electronic J. of Combinatorics 19 (2012), Issue 2, P31. [232] Minimum clique partition in unit disk graphs (with A. Dumitrescu), Graphs and Combinatorics 27 (2011), 399-411. [233] A computational approach to Conway's thrackle conjecture (with R. Fulek). in: Graph Drawing 2010, Lecture Notes in Computer Science 6502, Springer-Verlag, Berlin, 2011, 226-237. Also in: Computat. Geom.: Theory and Appls. 44 (2011), 345-355. [234] String graphs and incomparability graphs (with J. Fox), in: Proceedings 28th Annual Symposium on Computational Geometry (Chapel Hill, NC), ACM Press, New York, 2012, 405-414. Also in: Advances in Mathematics 230 (2012), 1381-1401. [235] A note on blocking visibility between points (with A. Dumitrescu and G. Tóth), Geombinatorics, 19(1), 2009, 67-73. [236] Crossings between curves with many tangencies (with J. Fox, F. Frati, and R. Pinchasi), in: Proc. WALCOM: Workshop on Algorithms and Computation, Lecture Notes in Computer Science 5942, Springer-Verlag, 2010, 1-8. Also in: An Irregular Mind (I. Bárány, L. Solymosi, eds.), Bolyai Society Mathematical Studies, Vol. 21, 2010, 251-260. [237] Conway's conjecture for monotone thrackles (with E. Sterling), American Mathematical Monthly 118, June/July 2011, 544-548. [238] On the structure of graphs with low obstacle number (with D. Sarioz), Graphs and Combinatorics 27 (2011), 465-473. [239] Graphs with large obstacle numbers (with P. Mukkamala, D. Sarioz), Proc. WG 2010: 36th Intern. Workshop on Graph Theoretic Concepts in Computer Science, Lecture Notes in Computer Science 6410, Springer-Verlag, Berlin, 2010, 292-303. [240] Overlap properties of geometric expanders (with J. Fox, M. Gromov, V. Lafforgue, A. Naor), Proc. 22nd ACM-SIAM Symposium on Discrete Algorithms (SODA 2011), San Francisco, California, 2011, 1188-1197. Also in: Journal fur die reine und angewandte Mathematik (Crelle) 671 (2012), 49-83. [241] Drawing planar graphs of bounded degree with few slopes (with B. Keszegh and D. Pálvölgyi), in: Graph Drawing 2010, Lecture Notes in Computer Science 6502, Springer-Verlag, 2011, 293-304. Also in: SIAM J. Discrete Math. 27 (2013), no. 2, 1171-1183. [242] Opaque sets (with A. Dumitrescu and M. Jiang), in: Approximation, Randomization, and Combinatorial Optimization (APPROX 2011), Lecture Notes in Computer Science Volume 6845 (2011), 194-205. Also in: Algorithmica, accepted. [243] Remarks on a Ramsey theory for trees (with J. Solymosi and G. Tardos), Combinatorica 32 (2012), 473-482. [244] Computing the independence number of intersection graphs (with J. Fox), Proc. 22nd ACM-SIAM Symposium on Discrete Algorithms (SODA 2011), San Francisco, California, 1161-1165. [245] On the queue-number of planar graphs (with G. Di Battista, F. Frati), in: Proc. 51st Annual IEEE Symposium on Foundations of Computer Science, (FOCS 2010), Las Vegas, Nevada, 2010, 365-374. Also: SIAM J. Computing, accepted. [246] Tangencies between families of disjoint regions in the plane (with A. Suk and M. Treml), in: Proc. 26th Annual Symposium on Computational Geometry, Snowbird, Utah, 2010, 423-428. Also in: Computational Geometry: Theory and Appls. 45 (2012), 131-138. [247] Tight lower bounds for the size of epsilon-nets (with G. Tardos), in: Proc. 27th Annual Symposium on Computational Geometry (SoCG 2011), Paris, France, 2011, 458-463. Also in: J. American Mathematical Society 26 (2013), no. 3, 645-658. [248] Lower bounds on the obstacle number of graphs (with P. Mukkamala, D. Pálvölgyi), Electronic J. Combin. 19 (2012), P32. [249] Monotone crossing number (with G. Tóth), in: Graph Drawing 2011, Lecture Notes in Computer Science 7034, Springer-Verlag, Berlin, 2011, 278-289. Also in: Moscow Journal of Combinatorics and Number Theory 2 (2012), 216-231. [250] Disjoint homometric sets in graphs (with M. O. Albertson, M. E. Young), Ars Math. Contemp. 4 (2011), 1-4. [251] "Square trisection": Dissection of a square in three congruent partitions (with Ch. Blanvillain), Bull. d'Informatique Approfondie et Appls. 86 (2010), 7-17. [252] Erdős-Szekeres-type theorems for monotone paths and convex bodies (with J. Fox, B. Sudakov, A. Suk), Proceedings of the London Mathematical Society 105 (2012), 953--982. [253] Piercing quasi-rectangles - On a problem of Danzer and Rogers (with G. Tardos), Journal of Combinatorial Theory Ser. A 119 (2012), 1391-1397. [254] Every graph admits an unambiguous bold drawing, in: Graph Drawing 2011 (M. van Kreveld, B. Speckmann, eds.), Lecture Notes in Computer Science 7034, Springer-Verlag, Berlin, 2011, 332-342. Also in Journal of Graph Algorithms and Applications 19 (2015), 299-312. [255] Homogeneous selections from hyperplanes (with I. Bárány), Journal of Combinatorial Theory Ser. B 104 (2014), 81-87. [256] Large simplices determined by finite point sets (with F. Morić), Beiträge für Algebra und Geometrie 54 (2013), 45-57. [257] The number of edges of k-quasi-planar graphs (with J. Fox, A. Suk), SIAM J. Discrete Mathematics 27 (2013), 550-561. [258] Tangled thrackles (with R. Radoičić and G. Tóth), Geombinatorics 21 (2012), 157-169. Also in: Proc. XIV Spanish Meeting on Computational Geometry, EGC 2011 (Dedicated to Ferran Hurtado), Lecture Notes in Computer Science 7579, Springer-Verlag, Berlin, 2012, 45-53. [259] How many potatoes are in a mesh? (with M. van Kreveld and M. Löffler), in: Proc. 28th European Workshop on Computational Geometry (EuroCG 2012), Assisi, Italy, 2012, 277-280. Also in: Proc. 23rd International Symposium on Algorithms and Computation (ISAAC 2012), Lecture Notes in Computer Science 7676, Springer-Verlag, Berlin, 2012, 166-176. [260] Survey on decomposition of multiple coverings (with G. Tóth and D. Pálvölgyi), in: Geometry - Intuitive, Discrete, and Convex (I. Bárány, K. J. Böröczky et al., eds.), Bolyai Society Mathematical Studies, Vol. 24, Springer-Verlag, Berlin, 2013, 219--257. [261] The visible perimeter of an arrangement of disks (with G. Nivasch, G. Tardos), in: Graph Drawing 2012, Lecture Notes in Computer Science 7704, Springer-Verlag, Berlin, 2013, 364-375. Also in: Computational Geometry: Theory and Appls. 47 (2014), 42-51. [262] The number of distinct distances from a vertex of a convex polygon (with G. Nivasch, R. Pinchasi, Sh. Zerbib), J. Computational Geometry 4 (2013), 1-12. [263] A note on coloring line arrangements (with E. Ackerman, R.Pinchasi, R. Radoičić, G. Tóth), Electronic J. Combinatorics 21 (2014), no. 2, Paper 2.23. [264] On Schur's conjecture (with F. Morić), in: Thailand-Japan Joint Conference on Computational Geometry and Graphs (TJJCCGG12), Lecture Notes in Computer Science 8296, Springer-Verlag, Berlin, 120-131, 2013. Also in: Comput. Geom.: Theory and Appls 48 (2015), no. 7, 520-527. [265] The range of a random walk on a comb (with G. Tardos), Electronic J. Combinatorics 20 (2013), p. 59. [266] Ramsey-type results for semi-algebraic relations (with D. Conlon, J. Fox, B. Sudakov, A. Suk), in: Proc. 29th Annual ACM Symposium on Computational Geometry (SoCG 2013), ACM Press, New York, 2013, 309-318. Also in: Trans. Amer. Math. Soc. 366 (2014), no. 9, 5043-5065. [267] The Erdős-Hajnal conjecture for rainbow triangles (with J. Fox, A. Grinshpun), Journal of Combinatorial Theory, Ser B 111 (2015), 75-125. [268] The beginnings of geometric graph theory, in: Erdős Centennial (L. Lovász et al., eds.), Bolyai Society Mathematical Studies 25, Springer-Verlag, Berlin, 2013, 465-484. [269] Applications of a new separator theorem (with J. Fox), Combinatorics, Probability and Computing 23 (2014), 66-74. [270] Two and a half billion years of distance research (with F. Morić), Geombinatorics XXII (2013), Issue 4, 182-191. [271] On the upward planarity of mixed plane graphs (with F. Frati, M. Kaufmann, C. D. Tóth, D. R. Wood), in: Graph Drawing 2013, Lecture Notes in Computer Science 8242, Springer-Verlag, Berlin, 2013, 1–12. Also in: Journal of Graph Algorithms and Applications 18, no. 2 (2014), 253-279. [272] Saturated simple topological graphs (with R. Radoičić and G. Tóth), Computational Geometry: Theory and Appls. 48 (2015), 295-310. [273] Distinct distances on algebraic curves in the plane (with F. de Zeeuw), Proc. 30th Annual Symposium on Computational Geometry (SoCG 2014), ACM Press, New York, 2014, 549-557. [274] Cross-intersecting sets of vectors (with G. Tardos), Discrete and Computational Geometry and Graphs, Lecture Notes in Computer Science, Springer-Verlag 8845 (J. Akiyama. H. Ito, T. Sakai, eds.), Springer, 2014, 122-137. Also in: Graphs Combin. 31 (2015), no. 2, 477-495. [275] Weight balancing on boundaries and skeletons (with L. Barba, J. De Carufel, O. Cheong, M. Dobbins, R. Fleischer, A. Kawamura, M. Korman, Y. Okamoto, Y. Tang, T. Tokuyama, S. Verdonschot, T. Wang), Proc. 30th Annual Symposium on Computational Geometry (SoCG 2014), ACM Press, New York, 2014, 436-443. [276] Decomposition of multiple packings with subquadratic union complexity (with B. Walczak), Combinatorics, Probability and Computing 25 (2016), no. 1, 145-153. [277] A precise threshold for quasi-Ramsey numbers (with R. J. Kang, V. Patel, G. Regts), SIAM J. Discrete Mathematics 29 (2015), no. 3, 1670-1682. [278] A lower bound on opaque sets (with A. Kawamura, S. Moriyama, Y. Otachi), in: Proc. 32nd Annual Symposium on Computational Geometry (SoCG 2016), LIPIcs 51 (2016), 46:1-10. Also: Computational Geometry: Theory and Appls. 80 (2019), 13-22. [279] Double-normal pairs in space (with K. Swanepoel), Mathematika 61 (2015), no. 1, 259-272. [280] Double-normal pairs in the plane and on the sphere (with K. Swanepoel), Beitr. Algebra Geom. 56 (2015), no. 2, 423-438. [281] Geometric intersection patterns and the theory of geometric graphs, in: Proceedings of the International Congress of Mathematicians 2014 (ICM 2014, Seoul, South Korea), 455-474. [282] A semi-algebraic version of Zarankiewicz's problem (with J. Fox, A. Sheffer, A. Suk, J. Zahl), J. European Math. Society 19 (2017), 1785-1810. [283] Density and regularity theorems for semi-algebraic hypergraphs (with J. Fox and A. Suk), in Proc. 26th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2015, San Diego), SIAM, 2015, 1517-1530. Another version: A polynomial regularity lemma for semi-algebraic hypergraphs and its applications in geometry and property testing, SIAM J. Computing 45 (2016), no. 6, 2199-2223. [284] Unsplittable coverings in the plane (with D. Pálvölgyi), in: Mayr E. (eds) Graph--Theoretic Concepts in Computer Science. WG 2015. Lecture Notes in Computer Science, vol 9224. Springer, Berlin, 2015, 281-296. Also in: Advances in Mathematics 302 (2016), 433-457. [285] On the Richter-Thomassen conjecture about pairwise intersecting closed curves (with N. Rubin and G. Tardos), in: Proc. 26th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2015, San Diego), SIAM, 2015, 1506-1515. Also in: Combinatorics, Probability and Computing 25 (2016), no. 6, 941-958. [286] Note on k-planar crossing numbers (with L. A. Székely, C. D. Tóth, G. Tóth), Computational Geometry: Theory and Applications 68 (2018), 2-6. [287] Translative covering of the space with slabs (with A. Kupavskii), Amer. Math. Monthly 124, No. 6, June-July (2017), 483-493. [288] Semi-algebraic colorings of complete graphs (with J. Fox and A. Suk), manuscript. [289] Beyond the Richter-Thomassen conjecture (with N. Rubin and G. Tardos), in: Proc. 27th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2016, Arlington), SIAM, 2016, 957-968. Also: A crossing lemma for Jordan curves, Advances in Mathematics 331 (2018), 908--940. [290] On the Zarankiewicz problem for intersection hypergraphs (with N. Mustafa), in: Graph Drawing 2015, Lecture Notes in Computer Science 9411, Springer-Verlag, Berlin, 2015, 207-216. Also in: Journal of Combinatorial Theory Ser. A 141 (2016), 1-7. [291] New lower-bounds for epsilon-nets (with A. Kupavskii, N. Mustafa), in: Proc. 32nd Annual Symposium on Computational Geometry (SoCG 2016), LIPIcs 51 (2016), 54:1-16. Almost the same as: Near-optimal lower bounds for epsilon-nets for half-spaces and low complexity set systems, in: A Journey Through Discrete Mathematics (M. Loebl et al., eds.), Springer, Cham, 2017, 527--541. [292] Separation with restricted families of sets (with Z. Lángi, M. Naszódi, G. Tardos, G. Tóth), J. Combinatorial Theory Ser. A 144 (2016), 292-305. [293] Borsuk and Ramsey type questions in Euclidean space (with P. Frankl, C. Reiher, and V. Rödl), in: Connections in Discrete Mathematics - A celebration of the work of Ron Graham, Cambridge Univ. Press, Cambridge, 2018, 259-277. [294] Decomposition of a cube into nearly equal smaller cubes (with P. Frankl, A. Meir), American Mathematical Monthly 124, No. 10 (2017), 895-904. [295] Simultaneous approximation of polynomials (with A. Kupavskii), in: Discrete and Computational Geometry and Graphs (JCDCGG 2015, J. Akiyama et al., eds.), Lecture Notes in Computer Science 9943, Springer-Verlag, Berlin, 2016, 193-203. [296] Sphere-of-influence graphs in normed spaces (with M. Naszódi, K. Swanepoel), in: Discrete Geometry and Symmetry (M. Conder et al., eds.), Springer Proc. Math. Stat., 234, Springer, Cham, 2018, 293-296. [297] More distinct distances under local conditions (with J. Fox, A. Suk), Combinatorica 38 (2018), No. 2, 501-509. [298] Approximating the rectilinear crossing number (with J. Fox and A. Suk), in: Graph Drawing 2016 (Y. Hu and M. Nöllenburg, eds.), Lecture Notes in Computer Science 9801, 413-426, 2016. [299] Arrangements of homothets of a convex body (with M. Naszódi, K. Swanepoel), Mathematika 63 (2017), no. 2, 696-710. [300] Graphs with no grid obstacle representation, Geombinatorics, XXVI (2) (2016), 80-83. [301] Beyond the Magic Mountain (A Varázshegyen túl, in Hungarian), Érintő (Elektronikus Mat. Lapok), September 2016 and Élet \és Irodalom, August 12, 2016. [302] On the size of k-cross-free families (with A. Kupavskii and I. Tomon), Combinatorica 39(1) (2019): 153-164. [303] Controlling Lipschitz functions (with A. Kupavskii and G. Tardos), Mathematika 64 (2018), 898-910. [304] Disjointness graphs of segments (with G. Tardos and G. Tóth), in: Proc. 33rd Annual Symposium on Computational Geometry (SoCG 2017), 59:1-15. Combin. Probab. Computing 30 (2021), no. 4, 498-512. [305] Erdős-Hajnal conjecture for graphs with bounded VC-dimension (with J. Fox and A. Suk), in: Proc. 33rd Annual Symposium on Computational Geometry (SoCG 2017), 43:1-15. Also in: Discret. Comput. Geom. 61(4) (2019), 809-829. [306] Many touchings force many crossings (with G. Tóth), in: 25th Internat. Symposium on Graph Drawing (GD2017). Lecture Notes in Computer Science 10692, Springer, 2018, 153-169. Also in: J. Comb. Theory, Ser. B 137 (2019), 104-111. [307] Thrackles: An improved upper bound (with R. Fulek), in: 25th Internat. Symposium on Graph Drawing (GD2017). Lecture Notes in Computer Science 10692, Springer, 2018, 153-169. Also in: Discret. Appl. Math. 259 (2019), 226-231. [308] Two extensions of the Erdős-Szekeres problem (with A. Holmsen, H. Nassajian Mojarrad, G. Tardos), J. European Math. Soc. 22 (2020), no. 12, 3981-3995. [309] Tilings with noncongruent triangles (with A. Kupavskii and G. Tardos), European J. Combin. 73 (2018), 72-80.
[310] Tilings of the plane with unit area triangles of bounded diameter (with A. Kupavskii and G. Tardos), Acta Math. Hung. 155 (2018), no. 1, 175-183. [311] A crossing lemma for multigraphs (with G. Tóth), in: Proc. 34th Annual Symposium on Computational Geometry (SoCG 2018), 65:1-13, 2018. Also in: Discret. Comput. Geom. 63(4) (2020): 918-933. [312] Almost all string graphs are intersection graphs of plane convex sets (with B. Reed, Y. Yuditsky), in: Proc. 34th Annual Symposium on Computational Geometry (SoCG 2018), 68:1-14, 2018. Also in: Discret. Comput. Geom. 63(4) (2020): 888-917. [313] A note on the clique chromatic number of geometric graphs (with J. Fox, A. Suk), Geombinatorics XXVIII (2018), Issue 2, 83-92. [314] Tiling the plane with equilateral triangles (with G. Tardos), Geombinatorics, Geombinatorics XXVIII (2019), no. 4, 197-205. [315] Ramsey-Turán numbers for semi-algebraic graphs (with J. Fox and A. Suk), Electron. J. Comb. 25(4): P4.61 (2018). [316] A stability theorem for cube tessellations (with P. Frankl), Computational Geometry 9 (2018), no. 1, 387-390. [317] Planar point sets determine many pairwise crossing segments (with N. Rubin and G. Tardos), STOC 2019: 1158-1166. Also in: Advances in Mathematics 386 (2021), 107779. (On-line) [318] On the chromatic number of disjointness graphs of curves (with I. Tomon), Proc. 35th Annual Symposium on Computational Geometry (SoCG 2019), 54:1-17, LIPIcs, 2019. Also in: J. Combinatorial Theory B, 144 (2020): 167-190. [319] The number of crossings in multigraphs with no empty lens (with M. Kaufmann, G. Toth, and T. Ueckerdt), in: Graph Drawing and Network Visualization, Lecture Notes in Comput. Sci. 11282, Springer, Cham, 2018, 242-254. Also in: J. Graph Algorithms and Applications 25 (2021), 383-396. [320] Ordered graphs and large bi-cliques in intersection graphs of curves (with I. Tomon), European J. Combinatorics 82 (2019), 102994 (on-line). (Extended abstract in: Acta Math. Univ. Comenian. (N.S.) 88 (2019), no. 3, 985-988.) [321] Large homogeneous submatrices (with D. Korándi and I. Tomon), SIAM J. Discrete Mathematics 34(4) (2020): 2532-2552. [322] Green-Wins Solitaire revisited--Simultaneous flips that affect many edges (with M. Hoffmann and M. Stojaković), in: 35th European Workshop on Computational Geometry 2019, 9:1-6. [323] Small triangular containers for triangles--On a problem of Nandakumar (with G. Kiss), Mathematics Newsletter-Ramanujan Mathematical Society 30 (2019), no. 3, 69-71. [324] Coloring Hasse diagrams and disjointness graphs of curves (with I. Tomon), in: Graph Drawing and Network Visualization '19, Lecture Notes in Comput. Sci. 11904, Springer-Verlag, Cham, 2019, 244-250. [325] Colorings with only rainbow arithmetic progressions (with I. Tomon), Acta Mathematica Hungarica 161 (2020): 507-515. [326] Bounded VC-dimension implies the Schur-Erdős conjecture (with J. Fox and A. Suk), in: Proc. 36th Annual Symposium on Computational Geometry (SoCG 2020), 46:1-46:8. Also in: Combinatorica 41 (6) (2021), 803-813. [327] Erdős-Hajnal-type results for ordered paths (with I. Tomon), J. Combinat. Theory Ser. B 151 (2021), 21-37. [328] Shattered matchings in intersecting hypergraphs (with P. Frankl), Moscow Journal of Combinatorics and Number Theory 10(1) (2021), 49-59. [329] Crossings between non-homotopic edges (with G. Tardos and G. Tóth), in: Graph Drawing and Network Visualization '20, Lecture Notes in Comput. Sci. 12590, Springer-Verlag, Cham, 2020, 359-371. Best paper award. Also in: J. Comb. Theory, Ser. B 156 (2022), 389-404. [330] Minimum area isosceles containers (with G. Kiss and G. Somlai), Journal of Information Processing 28 (2020), 759-765. [331] Sunflowers in set systems of bounded dimension (with J. Fox and A. Suk), in: 37th Symp. Computational Geometry (SoCG 2021), 37:1-37:13. Also in: Comb. 43 (1) (2023), 187-202. [332] On well-connected sets of strings (with P. Frankl), Electronic J. Combinatorics, Electron. J. Comb. 29 (1) (2022). [333] Exchange properties of finite set-systems (with D. Pálvölgyi and P. Frankl), in: Extended Abstracts EuroComb 2021 (J. Ne\v set\v ril et al, eds.), Springer, 2021. Also in: SIAM J. Discrete Mathematics 36 (2022), no. 3, 2073-2081. [334] On the number of edges of separated multigraphs (with J. Fox and A. Suk), in: Graph Drawing and Network Visualization '21, accepted. Lecture Notes in Computer Science, vol. 12868, 223-227, Springer, 2021. Also in: J. Graph Theory, accepted. [335] Disjointness graphs of short polygonal chains (with G. Tardos and G. Tóth), 38th Symp. on Computational Geometry (SoCG 2022), 56:1-56:12. [336] Quasiplanar graphs, string graphs, and the Erdős-Gallai problem (with J. Fox and A. Suk), in: 30th International Symposium on Graph Drawing and Network Visualization (GD 2022), Lecture Notes in Computer Science, vol. 13764. Springer, Cham, 219-231. Also in: European J. Combinatorics, accepted. [337] Random necklaces require fewer cuts (with N. Alon, D. Elboim, and G. Tardos), submitted. [338] Optimal embedded and enclosing isosceles triangles (with A. Ambrus, M. Csikós, G. Kiss, and G. Somlai), International Journal of Foundations of Computer Science 34 (7) (2023), 737-760. [339] Successive vertex orderings of fully regular graphs (with L. Fang, H. Huang, G. Tardos, J. Zuo), J. Comb. Theory, Ser. A 199 (2023): 105776 (online). [340] Where have all the grasshoppers gone? (with G. Tardos). Amer. Math. Monthly, accepted. [341] Odd-sunflowers (with P. Frankl and D. Pálvölgyi), Eurocomb 2023, accepted. [342] Monochromatic configurations on a circle (with G. Damásdi, N. Frankl, and D. Pálvölgyi), Eurocomb 2023, accepted. [344] Maximum Betti numbers of \v Cech complexes (with H. Edelsbrunner), in: 40th Annual Symposium on Computational Geometry (SoCG 2024), submitted. [345] A structure theorem for intersection graphs of pseudo-segments and its applications (with J. Fox and A. Suk), in: 40th Annual Symposium on Computational Geometry (SoCG 2024), submitted. |

Here is a another list of my publications, compiled by MathSciNet.