Publications of Gábor Tardos
You can download most of these papers in postscript or pdf
form. I lost the electronic versions of my first 11 papers, but feel free to
ask for paper copies.
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G. Tardos, A maximal clone of monotone operations which is not finitely
generated, Order 3 (1986) (3), 211–218.
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M. Szegedy, G. Tardos, On the decomposition of infinite series into monotone
decreasing parts, Studia Sci. Math. Hung. 23 (1988), 81–83.
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G. Tardos, Polynomial bound for a chip firing game on graphs, SIAM Journal
on Discrete Mathematics 1 (1988) (3), 397–398.
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G. Tardos, Finitely generated pseudosimple algebras, Algebra Universalis 26 (1989) (2), 127–136.
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A. Fiat, S. Moses, A. Shamir, I. Shimshoni, G. Tardos, Planning and learning
in permutation groups, in: Proceedings of the 30th Annual IEEE
Symposium on Foundations of Computer Science, (FOCS 1989), 274–287.
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R. Impagliazzo, G. Tardos, Decision versus search in super-polynomial time,
in: Proceedings of the 30th Annual IEEE Symposium on Foundations of
Computer Science, (FOCS 1989), 222–227.
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G. Tardos, Query complexity, or why is it difficult to separate NPA
meet coNPA from PA by random oracles A?,
Combinatorica 9 (1989) (4), 385–392.
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L. Fehér, M. Laczkovich, G. Tardos, Croftian sequences, Acta
Mathematica Hungarica 56 (1990) (3-4), 353–359.
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P. Berman, H. Karloff, G. Tardos, A competitive 3-server algorithm,
in: Proceedings of the 1st Annual ACM-SIAM Symposium on Discrete
Algorithms, (SODA 1990), 280–290.
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G. Tardos, On the intersection of subgroups of a free group, Inventiones
Mathematicae 108 (1992) (1), 29–36.
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S. Ben-David, A. Borodin, R. Karp, G. Tardos, A. Wigderson, On the power
of randomization in on-line algorithms, Algorithmica 11
(1994) (1), 2–14.
Preliminary version appeared in Proceedings of the 22nd Annual ACM
Symposium on Theory of Computing, (STOC 1990), 379–386.
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G. Tardos, Transversals of
2-intervals, a topological approach,
Combinatorica 15 (1995) (1) 123–134.
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Gy. Károlyi, G. Tardos,
On point covers of multiple
intervals and axis parallel rectangles, Combinatorica 16
(1996) (2) 213–222.
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G. Tardos, Toward the Hanna Neumann conjecture using Dicks' method, Inventiones
Mathematicae 123 (1996) (1) 95–104.
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G. Tardos, Multi-prover encoding scemes and three-prover proof systems,
Journal
of Computer and System Sciences 53 (1996) (2) 251–260.
Preliminary version appeared in Proceedings of the 9th Annual
Structure in Complexity Theory Conference, (STRUCTURES 1994), 308–317.
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M. Ruszinkó, G. Tardos, On a search problem in multidimensional
grids, J. of Statistical Planning and Inference 59
(1997) (1), 101–109.
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Gy. Károlyi, J. Pach, G. Tardos, G. Tóth, An algorithm for
finding many disjoint monochromatic edges in a complete 2-colored geometric
graph, in: Intuitive Geometry (I. Bárány, K. Böröczky,
eds.), Bolyai Society Mathematical Studies, Budapest, 1997, 367–372.
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J. Kilian, E. Petrank, G. Tardos, Probabilistically checkable proofs with
zero knowledge, in: Proceedings of the 29th Annual ACM Symposium on
Theory of Computing, (STOC 1997), 496–505.
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G. Tardos, U. Zwick, The communication complexity of the universal relation,
in: Proceedings of the 12th Annual IEEE Conference on Computational
Complexity, (CCC 1997), 247–259.
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G. Tardos, Trasversals of
d-intervals — comparing three approaches,
in: Proceedings of the Second European Congress of Mathematics, Progress
in Mathematics, Vol. 169, Birkhäuser, 1998, 234–243.
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G. Tardos, D. A. M. Barrington, A lower bound on the mod 6 degree of the
OR function, Comput. Complex. 7 (1998) (2), 99–108.
Preliminary version appeared in Proceedings of the 3rd Israel
Symposium on Theory of Computing and Systems, (ISTC 1995), 52–56.
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N. Alon, M. Dietzfelbinger, P. B. Miltersen, E. Petrank, G. Tardos, Linear
hash functions, Journal of the ACM 46 (1999) (5),
667–683.
Preliminary version appeared as Is linear hashing good?, in Proceedings of the
29th Annual ACM Symposium on Theory of Computing, (STOC 1997), 465–474.
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R. Raz, G. Tardos, O. Verbitsky, N. Vereshchagin, Arthur-Merlin Games in
Boolean Decision Trees, Journal of Computer and System Sciences 59 (1999) (2) 346–372.
Preliminary version appeared in Proceedings of the 13th Annual
IEEE Conference on Computational Complexity, (CCC 1998), 58–67.
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G. Elek, G. Tardos, On roughly transitive amenable graphs and harmonic
Dirichlet functions, Proceedings of the AMS 128
(2000) (8), 2479–2485. Also available at
arXiv:math.GT/9806129.
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V. Grolmusz, G. Tardos, Lower bounds for (MOD p - MOD m) circuits, SIAM
Journal on Computing 29 (2000) (4), 1209–1222.
Preliminary version appeared in Proceedings of the 39th Annual
Symposium on Foundations of Computer Science, (FOCS 1998), 279–288.
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J. Spencer, G. Tardos, Ups and downs of first order sentences on random
graphs, Combinatorica 20 (2000) (2), 263–280.
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J. Pach, G. Tardos, Cutting glass, Discrete and Computational Geometry
24 (2000) (2-3), 481–495.
Preliminary version appeared in Proceedings of the 16th Annual
Symposium on Computational Geometry, (SoCG 2000), 360–369.
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J. Pach, G. Tardos, Separating convex sets by straight lines, Discrete
Mathematics 241 (2001) (1-3), 427–433.
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M. Sharir, S. Smorodinsky, G. Tardos, An improved bound for k-sets in three
dimensions, Discrete and Computation Geometry 26
(2001) (2), 195–204.
Preliminary version appeared in Proceedings of the 16th Annual
Symposium on Computational Geometry, (SoCG 2000), 43–49.
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T. Szabó, G. Tardos, A
multidimensional generalization of the Erdős–Szekeres lemma on monotone
subsequences, Combinatorics, Probability and Computing
10 (2001) (6), 557–565.
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I. Bárány, G. Harcos, J. Pach, G. Tardos, Covering lattice
points by subspaces, Periodica Mathematica Hungarica 43
(2002) (1-2), 93–103. Also available at
arXiv:math.NT/0102030.
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E. Petrank, G. Tardos, On the knowledge complexity of NP, Combinatorica 22 (2002) (1), 83–121.
Preliminary version appeared in Proceedings of the 37th Annual
Symposium on Foundations of Computer Science, (FOCS 1996), 494–503.
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J. Pach, G. Tardos, On the
boundary complexity of the union of fat triangles,
SIAM Journal on Computing 31 (2002) (6), 1745–1760.
Preliminary version appeared in Proceedings of the 41st Annual
Symposium on Foundations of Computer Science, (FOCS 2000), 423–431.
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J. Pach, G. Tardos, Untangling a polygon, Discrete and Computational
Geometry 28 (2002) (4), 585–592.
Preliminary version appeared in Graph Drawing 2001, Lecture
Notes in Computer Science 2265, Springer-Verlag, Berlin, Heidelberg,
2002, 154–161.
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J. Pach, G. Tardos, Isosceles triangles determined
by a planar point set, Graphs
and Combinatorics 18 (2002) (4), 769–779.
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J. Solymosi, G. Tardos, Cs. D. Tóth, The k most frequent distances
in the plane, Discrete and Computational Geometry 28 (2002)
(4), 639–648.
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K. Böröczky, Jr., G. Tardos, The longest segment in the complement
of a packing, Mathematika 49 (2002) (97-98), 45–49.
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G. Tardos, On distinct sums and distinct distances, Advances in Mathematics
180 (2003) (1), 275–289.
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P. Haxell, T. Szabó, G. Tardos, Bounded size components - partitions
and transversals, Journal of Combinatorial Theory Ser. B 88
(2003) (2), 281–297.
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V. Grolmusz, G. Tardos, A note on non-deterministic
communication complexity with few witnesses, Theory of Computing
Systems 36 (2003) (4), 387–391.
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B. Aronov, J. Pach, M. Sharir, G. Tardos, Distinct distances in three and
higher dimensions, Combinatorics, Probability and Computing
13 (2004) (3), 283–293.
Preliminary version appeared in Proceedings of the 35th Annual ACM
Symposium on Theory of Computing, (STOC 2003), 541–546.
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A. Marcus, G. Tardos, Excluded permutation matrices and the Stanley-Wilf
conjecture, Journal of Combinatorial Theory Ser. A 107
(2004) (1), 153–160.
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N. H. Katz, G. Tardos, A new
entropy inequality for the Erdős distance problem, in: Towards a
Theory of Geometric Graphs (J. Pach, ed.), Contemporary Mathematics
342, AMS, Providence, RI, 2004, 119–126.
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J. Pach, R. Pinchasi, G. Tardos, G. Tóth, Geometric graphs with no
self-intersecting path of length three, European Journal of
Combinatorics 25 (2004) (6), 793–811.
Preliminary version appeared in Graph Drawing 2002 (M. T.
Goodrich, S. G. Kobourov, eds.), Lecture Notes in Computer Science
2528, Springer-Verlag, Berlin, Heidelberg, 2002, 295–311.
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G. Tardos, On 0-1 matrices
and small excluded submatrices, Journal of Combinatorial Theory
Ser. A 111 (2005) (2), 266–288.
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G. Simonyi, G. Tardos, Local
chromatic number and topological properties of graphs,
in: Proceedings of the European Conference on Combinatorics, Graph
Theory and Applications (EUROCOMB'05), DMTCS Proceedings, 2005,
375–378.
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T. Szabó, G. Tardos, Extremal problems for transversals in graphs
with bounded degree, Combinatorica 26 (2006) (3), 333–351.
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J. Pach, R. Radoičić, G. Tardos, G. Tóth,
Improving the crossing
lemma by finding more crossings in sparse graphs, Discrete and
Computational Geometry 36 (2006) (4), 527–552.
Preliminary version appeared in Proceedings of the 20th
Annual Symposium on Computational Geometry, (SoCG 2004), 68–75.
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A. Marcus, G. Tardos,
Intersection reverse sequences
and geometric applications, Journal of Combinatorial Theory Ser. A
113 (2006) (4), 675–691.
Preliminary version appeared in Graph Drawing 2004 (J. Pach, ed.),
Lecture Notes in Computer Science 3383, Springer-Verlag, Berlin,
Heidelberg, 2005, 349–359.
 
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I. Benjamini, G. Kozma, L. Lovász, D. Romik, G. Tardos,
Waiting for a bat to
fly by (in polynomial time), Combinatorics, Probability and
Computing 15 (2006) (5), 673–683.
Also available at
arXiv:math.PR/0310435.
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G. Simonyi, G. Tardos, Local
chromatic number, Ky Fan's theorem, and circular colorings,
Combinatorica 26 (2006) (5), 587–626. Also available at
arXiv:math.CO/0407075.
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J. Pach, G. Tardos, Forbidden
paths and cycles in ordered graphs and matrices, Israel Journal of
Mathematics 155 (2006), 359–380.
Preliminary version appeared as Forbidden patterns and
unit distances, in Proceedings of the 21th
Annual Symposium on Computational Geometry, (SoCG 2005), 1–9.
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G. Tardos, G. Tóth, Crossing stars in topological
graphs, SIAM Journal on Discrete Mathematics 21 (2007) (3),
737–749.
Preliminary version appeared in Discrete and
Computational Geometry, Japanese Conference, Revised Selected Papers, Lecture Notes in Computer Science 3742,
Springer Verlag, Berlin, 2005, 184–197.
 
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N. Alon, I. Newman, A. Shen, G. Tardos, N. Vereshchagin, Partitioning multidimensional
sets in a small number of “uniform” parts, European Journal
of Combinatorics 28 (2007) (1), 134–144.
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J. Cooper, B. Doerr, J. Spencer, G. Tardos, Deterministic random walks on the
integers, European Journal of Combinatorics
28 (2007) (8), 2072–2090.
Preliminary version appeared as Deterministic random walks,
in Proceedings of the Third Workshop on
Analytic Algorithmics and Combinatorics (ANALCO'06), 185–197. Also
available at arXiv:math.CO/0602300.
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J. Solymosi, G. Tardos, On the
number of k-rich transformations, in Proceedings of the
23th Annual Symposium on Computational Geometry, (SoCG 2007), ACM, New
York, 2007, 227–231.
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G. Tardos, G. Tóth, Multiple coverings of the plane with triangles,
Discrete and Computational Geometry 38 (2007) (2), 443–450.
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G. Simonyi, G. Tardos, Colorful
subgraphs in Kneser-like graphs, European Journal of Combinatorics
28 (2007) (8), 2188–2200. Also available at arXiv:math.CO/0512019.
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E. Ackerman, G. Tardos, On the maximum
number of edges in quasi-planar graphs, Journal of Combinatorial Theory
Ser. A 114 (2007) (3), 563–571.
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G. Tardos, Optimal
probabilistic fingerprint codes, Journal of the ACM 55
(2008) (2), Art. 10, 24pp.
Preliminary version appeared in Proceedings of the 35th Annual ACM
Symposium on Theory of Computing, (STOC 2003), 116–125.
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N. Linial, J. Matoušek, O. Sheffet, G. Tardos,
Graph colouring with no large
monochromatic components, Combinatorics, Probability and Computing
17 (2008) (4), 577–589.
Preliminary version appeared in Proceedings of the European Conference
on Combinatorics, Graph
Theory and Applications (EUROCOMB'07), Electronic Notes in
Discrete Mathematics, 29 (2007), 115–122. Also available at arXiv:math.CO/0703362.
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J. Pach, G. Tardos, G. Tóth,
Indecomposable
coverings, Canadian Mathematical Bulletin 52 (2009) (3),
451–463.
Preliminary version appeared in Discrete Geometry, Combinatorics and
Graph Theory, Lecture Notes in Computer Science 4381, Springer,
Berlin, 2007, 135–148.
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G. Simonyi, G. Tardos, S. Vrećica, Local chromatic number and distinguishing
the strength of topological obstructions,
Trans. Amer. Math. Soc. 361 (2009) (2), 889–908. Also available at
arxiv:math.CO/0502452.
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X. Chen, J. Pach, M. Szegedy, G. Tardos, Delaunay graphs of point sets in
the plane with respect to axis-parallel rectangles, Random Structures
and Algorithms 34 (2009) (1), 11–23.
Preliminary version appeared in Proceedings of
the 19th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2008),
94–101.
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E. Amiri, G. Tardos, High rate
fingerprinting codes and the fingerprinting capacity,
in: Proceedings of the 20th Annual ACM-SIAM Symposium on Discrete
Algorithms (SODA 2009), 336–345.
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J. Pach, G. Tardos, Conflict-free colorings of graphs
and hypergraphs, Combinatorics, Probability and
Computing 18 (2009) (5), 819–834.
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J. Pach, J. Solymosi, G. Tardos,
Crossing numbers of imbalanced
graphs, Journal of Graph Theory 64 (2010) (1), 12–21.
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J. Pach, G. Tardos, Coloring
axis-parallel rectangles, Journal of Combinatorial Theory, Ser. A
117 (2010) (6), 776–782.
Preliminary version appeared in Computational Geometry and Graph
Theory, KyotoCGGT 2007, Lecture Notes in Computer Science 4535,
Springer, Berlin, 2008, 178–185.
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R. A. Moser, G. Tardos, A
constructive proof of the general Lovász local lemma,
Journal of the ACM 57 (2010) (2) Art. 11, 15pp. Also available
at arXiv:0903.0544.
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G. Tardos, Capacity of collusion
secure fingerprinting—a tradeoff between rate and efficiency, in:
Information Hiding 2010, Lecture Notes in Computer Science 6387,
Springer, Berlin, 2010, 81–85.
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G. Simonyi, G. Tardos, On directed local chromatic number, shift graphs, and
Borsuk-like graphs, Journal of Graph Theory 66 (2011) (1),
65–82. Also available at arXiv:0906.2897.
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H. Jowhari, M. Sağlam, G. Tardos, Tight bounds for
Lp
samplers, finding duplicates, and related problems,
in: Proceedings of the 30th ACM SIGMOD-SIGACT-SIGART Symposium on
Principles of Database Systems (PODS 2011), 49–58. Also available at
arXiv:1012.4889.
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L. Csirmaz, G. Tardos, On-line secret sharing,
Designs, Codes and Cryptography 63 (2012) (1),
127–147.
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J. Pach, J. Solymosi, G. Tardos, Remarks on the Ramsey theory for
trees, Combinatorica 32 (2012) (4), 473–482. Also
available at arXiv:1107.5301.
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J. Pach, G. Tardos, Piercing
quasi-rectangles—On a problem of Danzer and Rogers, Journal of
Combinatorial Theory A 119 (2012) (7), 1391–1397.
 
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G. Tardos, Construction
of locally plane graphs with many edges, in: Thirty Essays
on Geometric Graph Theory, Algorithms and Combinatorics series, 29
(J. Pach, ed.), Springer, 2013, 541–562. Also available at arXiv:1110.6482.
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B. Mohar, G. Simonyi, G. Tardos, Local chromatic number of
quadrangulations of surfaces, Combinatorica 33 (2013) (4),
467–494. Also available at arXiv:1010.0133.
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J. Pach, G. Tardos, Tight lower
bounds for the size of epsilon-nets, Journal of the AMS 26
(2013), 645–658. Also available at arXiv:1012.1240.
Preliminary version appeared in Proceedings of the 27th
Annual Symposium on Computational Geometry (SoCG 2011), Paris, France,
2011, 458–463.
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P. L. Erdős, C. Tardif, G. Tardos, On infinite-finite duality pairs of
directed graphs, Order 30 (2013), 807–819. Also
available at arXiv:1203.1257.
 
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L. Csirmaz, G. Tardos, Optimal information rate of secret sharing schemes on
trees, IEEE Transactions on Information Theory 59 (2013)
(4), 2527–2530. Also
available at arXiv:1302.4609.
 
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P. L. Erdős, C. Tardif, G. Tardos, Caterpillar dualities and
regular languages, SIAM Journal on Discrete Mathematics 27
(2013) (3), 1287–1294. Also
available at arXiv:1203.1347.
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M. Sağlam, G. Tardos, On the
communication complexity of sparse set disjointness and exists-equal
problems, in: Proceedings of the 54th Annual
Symposium on Foundations of Computer Science (FOCS 2013), 678–687. Also
available at arXiv:1304.1217.
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J. Pach, G. Tardos, The range
of a random walk on a comb, Electronic Journal of
Combinatorics 20 (2013) (3), Paper 59, 7pp. Also
available at arXiv:1309.6360.
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G. Nivasch, J. Pach, G. Tardos, The visible perimeter of an
arrangement of disks, Computational Geometry 47 (2014) (1),
42–51.
Preliminary version appeared in Graph Drawing 2012, Lecture Notes in
Computer Science 7704, Springer, Berlin, 2013, 364–375. Also
available at arXiv:1206.1422.
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R. Glebov, T. Szabó, G. Tardos, Conflict-free coloring of
graphs, Combinatorics, Probability and Computing 23 (2014)
(3), 434–448. Also available at arXiv:1111.5501.
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J. Enright, L. Stewart, G. Tardos, On list colouring and list
homomorphism of permutation and interval graphs, SIAM Journal on Discrete
Mathematics 28 (2014) (4), 1675–1685. Also
available at arXiv:1206.5106.
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J. Pach, G. Tardos, Cross-intersecting
families of vectors, Graphs and Combinatorics 31 (2015)
(2), 477–495.
Preliminary version appeared in Proceedings of the 16th Japan
Conference on Discrete and Computational Geometry and Graphs (JCDCG^2
2013), Lecture Notes
in Computer Science 8845 (J. Akiyama, H. Ito,
T. Sakai, eds.) Springer, 2014, 122–137. Also
available at arXiv:1405.2805.
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J. Pach, N. Rubin, G. Tardos, On the
Richter–Thomassen conjecture about
pairwise intersecting closed curves, Combinatorics, Probability and Computing 25 (2016) (6), 941–958. Preliminary version appeared in: Proceedings of the 26th
Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2015),
1506–1516.
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L. Csirmaz, P. Ligeti, G. Tardos, Erdős-Pyper theorem for
hypergraphs and secret sharing, Graphs and Combinatorics, 2014, DOI: 10.1007/s00373-014-1448-7. Also available at arXiv:1311.5027.
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G. Simonyi, G. Tardos, A. Zsbán, Relations between the local
chromatic number and its directed version, Journal of Graph Theory
79 (2015) (4), 318–330.
Also available at
arXiv:1305.7473.
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F. Magniez, A. Nayak, M. Santha, J. Sherman, G. Tardos, D. Xiao, Improved bounds for the
randomized decision tree complexity for the recursive majority,
Random Structures and Algorithms 48 (2016) (3), 612–638. Also available at arXiv:1309.7565.
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H. Gebauer, T. Szabó, G. Tardos, The local lemma is tight for
SAT, Journal of the ACM 63 (2016) (5), Article 43.
Preliminary version appeared in Proceedings of the 22nd Annual
ACM-SIAM Symposium on Discrete Algorithms (SODA 2011), 664–674. Also
available at arXiv:1006.0744.
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P. L. Erdős, D. Pálvölgyi, C. Tardif, G. Tardos, Regular families of forests,
antichains and duality pairs of relational structures,
Combinatorica 37 (4) (2017), 651–672. Also
available at arXiv:1207.4402.
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J. Pach, N. Rubin, G. Tardos, A crossing lemma for Jordan
curves, Advances in Mathematics 331 (2018), 908–940. Also aviable at: arXiv:1708.02077. Preliminary version appeared as Beyond the Richter-Thomassen conjecture, in: Proceedings of the 27th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2016), 957–968.
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Zs. Lángi, M. Naszódi, J. Pach, G. Tardos, G. Tóth, Separation with restricted
families of sets, Journal of Combinatorial Theory, Series A 144 (2016), 292–305. Also available at: arXiv:1508.05504.
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C. Keller, S. Smorodinski, G. Tardos, Improved bounds on the
Hadwiger-Debrunner numbers, Istrael Journal of Mathematics
225 (2018) (2), 925–945.
Preliminary version appeared as On Max-Clique of intersection graphs of sets
and the Hadwiger-Debrunner numbers, in: Proceedings of the 28th Annual
ACM-SIAM Symposium on Discrete Algorithms (SODA 2017),
2254–2263. Also available at: rdcu.be/MOHR and arXiv:1512.04026.
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A. Kupavskii, J. Pach, G. Tardos, Controlling Lipschitz functions, Mathematika 64 (3) (2018), 898–910. Also available at: arXiv:1704.03062.
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J. Pach, G. Tardos, G. Tóth, Disjointness graphs of segments in the space, Combinatorics, Probability and Computing 30 (2021), 498–512. Preliminary version appeared as Disjointness graphs of Segments, in: 33rd International Symposium on Computational Geometry (SoCG 2017), Vol. 77, 59:10–59:15. Also available at: arXiv:1704.01892.
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A. Holmsen, H. Mojarrad, J. Pach, G. Tardos, Two extensions of the Erdős–Szekeres problem, Journal of the European Mathematical Society 22 (12) (2020), 3981–3995. Also available at: arXiv:1710.11415.
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D. Korándi, G. Tardos, I. Tomon, C. Weidert, On the Turán number of ordered forests, Journal of Combinatorial Theory, Series A 165 (2019), 32–43. Also available at: arXiv:1711.07723.
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A. Kupavskii, J. Pach, G. Tardos, Tilings with noncongruent
triangles, European Journal of Combinatorics 73 (2018),
72–80. Also available at: arXiv:1711.04504.
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A. Kupavskii, J. Pach, G. Tardos, Tilings of the plane with unit area triangles of bounded diameter, Acta Mathematica Hungarica 155 (1) (2018), 175–183. Also available at: arXiv:1712.00318.
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G. Tardos, G. Tóth, Áttörés az Erdős–Szekeres problémában (in Hungarian), Érintő, 2018, március.
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G. Tardos, Extremal theory
of ordered graphs, Proceedings of the International Congress of
Mathematics — 2018, Vol. 3, 3219–3228.
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J. Pach, G. Tardos, Tiling the plane with
equilateral triangles, Geombinatorics XXVIII (4) (2019), 197–205. Alaso available at: arXiv:1805.08840.
- A. Sali, G. Simonyi, G. Tardos, Partitioning transitive tournaments into isomorphic digraphs, Order 38 (2) (2021), 211–228. Also available at: arXiv:1806.00729.
- J. Pach, N. Rubin, G. Tardos, Planar point sets determine many pairwise crossing segments, Advances in Mathematics 386 (2021) Article 107779. Preliminary version appeared in: Proceedings of the 51st Annual ACM Symposium on Theory of Computing, (STOC 2019), 1158–1166. Also available at: arXiv:1904.08845.
- G. Tardos, Extremal theory of vertex and edge ordered graphs, in: Surveys in Combinatorics 2019, London Mathematical Society Lecture Note Series 456 (A. Lo et al. eds.), Cambridge University Press, 2019, pp. 221–236.
- D. Pálvölgyi, G. Tardos, Unlabeled compression
schemes exceeding the VC-dimension, Discrete Applied Mathematics 276 (2020), 102–107. Also available at: arXiv:1811.12471.
- G. Simonyi, G. Tardos, On 4-chromatic Schrijver graphs: their structures,
non-3-colorability, and critical edges, Acta Mathematica Hungarica 161 (2020), 583–617. Also available at: arXiv:1912.03724.
- G. Tardos, Lovász lokális lemmájáról (in Hungarian), Érintő, 2021, június.
- D. Gerbner, A. Methuku, D. Nagy, D. Pálvölgyi, G. Tardos, M. Vizer, Turán problems for edge-ordered graphs, Journal of Combinatorial Theory, Ser. B 160 (2023), 66–113. Preliminary version appeared in: Acta Mathematica Universitatis Comenianae 88 (2019), 717–722. Also available at: arXiv:2001.00849.
- G. Elek, G. Tardos, Convergence and limits of finite trees, Combinatorica 42 (2022), 821–852. Also available at: arXiv:2001.00905.
- J. Pach, G. Tardos, G. Tóth, Crossings between non-homotopic edges, Journal of Combinatorial Theory Ser. B 156 (2022), 389–404. Also available at: arXiv:2006.14908.
- J. Pach, G. Tardos, G. Tóth, Disjointness graphs of short polygonal chains, Journal of Combinatorial Theory Ser. B 164 (2024), 29–43. Also available at: arXiv:2112.05991.
- N. Alon, D. Elboim, J. Pach, G. Tardos, Random necklaces require fewer cuts, SIAM Journal on Discrete Mathematics 38 (2024), 1381$ndash;1408. Also available at: arXiv:2112.14488.
- G. Kucheriya, G. Tardos, A characterization of edge-ordered graphs with almost linear extremal functions, Combinatorica 43 (2023), 1111–1123. Also available at: arXiv:2206.12979.
- L. Fang, H. Huang, J. Pach, G. Tardos, J. Zuo, Successive vertex orderings of fully regular graphs, Journal of Combinatorial Theory, Series A 199 (2023): 105776. Also available at: arXiv:2206.13592.
- J. Pach, G. Tardos, Where have all the grasshoppers gone, The American Mathematical Monthly (2023), 1–9. Also available at: arXiv:2211.03870.
- A. Gujgiczer, G. Simonyi, G. Tardos, On the generalized Mycielskian of complements of odd cycles, Proceedings of the 12th Japanese-Hungarian Symposium on Discrete Mathematics and Its Applications (March 21–24, 2023, Budapest, Hungary), 485–488.
- G. Kucheriya, G. Tardos, On edge-ordered graphs with linear extremal functions, extended abstract in Proceedings of EUROCOMB'23 (2023), 688–694, full version at: arXiv:2309.10558.
- S. Pettie, G. Tardos, On the extremal functions of acyclic forbidden 0-1 matrices, Proceedings of the ACM-SIAM Symposium on Discrete Algorithms (SODA24) (2024). Also avaible at: arXiv:2306.16365.
- S. Pettie, G. Tardos, A refutation of the Pach–Tardos conjecture for 0-1 matrices, Proceedings of the ACM-SIAM Symposium on Discrete Algorithms (SODA25) (2025). Also avaible at: arXiv:2407.02638.
- J. Pach, G. Tardos, Nagy egyszínű klikkek nyomában — áttörések a Ramsey-elméletben (in Hungarian), Érintő, 2024, szeptember.
- B. Janzer, O. Janzer, A. Methuku, G. Tardos, Tight bounds for intersection-reverse sequences, edge-ordered graphs and applications, manuscript. Also avaible at: arXiv:2411.07188.
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