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Quasi-Randomness in Extremal Combinatorics

Publications

A Tight Bound for Hyperaph Regularity

Author(s): Guy Moshkovitz, Asaf Shapira
Published in: Geometric and Functional Analysis, Issue 29/5, 2019, Page(s) 1531-1578, ISSN 1016-443X
Publisher: Birkhauser Verlag
DOI: 10.1007/s00039-019-00512-5

Edge-statistics on large graphs

Author(s): Noga Alon, Dan Hefetz, Michael Krivelevich, Mykhaylo Tyomkyn
Published in: Combinatorics, Probability and Computing, Issue 29/2, 2020, Page(s) 163-189, ISSN 0963-5483
Publisher: Cambridge University Press
DOI: 10.1017/s0963548319000294

Towards the Kohayakawa–Kreuter conjecture on asymmetric Ramsey properties

Author(s): Frank Mousset, Rajko Nenadov, Wojciech Samotij
Published in: Combinatorics, Probability and Computing, Issue 29/6, 2020, Page(s) 943-955, ISSN 0963-5483
Publisher: Cambridge University Press
DOI: 10.1017/s0963548320000267

A quantitative Lovász criterion for Property B

Author(s): Asaf Ferber, Asaf Shapira
Published in: Combinatorics, Probability and Computing, Issue 29/6, 2020, Page(s) 956-960, ISSN 0963-5483
Publisher: Cambridge University Press
DOI: 10.1017/s0963548320000334

Removal Lemmas with Polynomial Bounds

Author(s): Lior Gishboliner, Asaf Shapira
Published in: International Mathematics Research Notices, 2019, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnz214

Very fast construction of bounded‐degree spanning graphs via the semi‐random graph process

Author(s): Omri Ben‐Eliezer, Lior Gishboliner, Dan Hefetz, Michael Krivelevich
Published in: Random Structures & Algorithms, Issue 57/4, 2020, Page(s) 892-919, ISSN 1042-9832
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/rsa.20963

On the separation conjecture in Avoider–Enforcer games

Author(s): Małgorzata Bednarska-Bzdȩga, Omri Ben-Eliezer, Lior Gishboliner, Tuan Tran
Published in: Journal of Combinatorial Theory, Series B, Issue 138, 2019, Page(s) 41-77, ISSN 0095-8956
Publisher: Academic Press
DOI: 10.1016/j.jctb.2019.01.003

Forbidden vector‐valued intersections

Author(s): Peter Keevash, Eoin Long
Published in: Proceedings of the London Mathematical Society, Issue 121/3, 2020, Page(s) 702-742, ISSN 0024-6115
Publisher: Oxford University Press
DOI: 10.1112/plms.12338

Testing linear inequalities of subgraph statistics

Author(s): Lior Gishboliner, Asaf Shapira, Henrique Stagni
Published in: Random Structures & Algorithms, 2021, ISSN 1042-9832
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/rsa.20983

The Induced Removal Lemma in Sparse Graphs

Author(s): Shachar Sapir, Asaf Shapira
Published in: Combinatorics, Probability and Computing, Issue 29/1, 2020, Page(s) 153-162, ISSN 0963-5483
Publisher: Cambridge University Press
DOI: 10.1017/s0963548319000233

Lagrangians of hypergraphs: The Frankl-Füredi conjecture holds almost everywhere

Author(s): Mykhaylo Tyomkyn
Published in: Journal of the London Mathematical Society, Issue 96/3, 2017, Page(s) 584-600, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.12082

A sparse regular approximation lemma

Author(s): Guy Moshkovitz, Asaf Shapira
Published in: Transactions of the American Mathematical Society, Issue 371/10, 2019, Page(s) 6779-6814, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/7414

The removal lemma for tournaments

Author(s): Jacob Fox, Lior Gishboliner, Asaf Shapira, Raphael Yuster
Published in: Journal of Combinatorial Theory, Series B, Issue 136, 2019, Page(s) 110-134, ISSN 0095-8956
Publisher: Academic Press
DOI: 10.1016/j.jctb.2018.10.001

On the inducibility of cycles

Author(s): Dan Hefetz, Mykhaylo Tyomkyn
Published in: Electronic Notes in Discrete Mathematics, Issue 61, 2017, Page(s) 593-599, ISSN 1571-0653
Publisher: Elsevier BV
DOI: 10.1016/j.endm.2017.07.012

Efficient Removal Without Efficient Regularity

Author(s): Lior Gishboliner, Asaf Shapira
Published in: Combinatorica, Issue 39/3, 2019, Page(s) 639-658, ISSN 0209-9683
Publisher: Springer Verlag
DOI: 10.1007/s00493-018-3899-6

A tournament approach to pattern avoiding matrices

Author(s): Asaf Shapira, Raphael Yuster
Published in: Israel Journal of Mathematics, Issue 217/1, 2017, Page(s) 477-505, ISSN 0021-2172
Publisher: Magnes Press
DOI: 10.1007/s11856-017-1455-5

Decomposing a graph into expanding subgraphs

Author(s): Guy Moshkovitz, Asaf Shapira
Published in: Random Structures & Algorithms, 2018, ISSN 1042-9832
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/rsa.20727

Constructing near spanning trees with few local inspections

Author(s): Reut Levi, Guy Moshkovitz, Dana Ron, Ronitt Rubinfeld, Asaf Shapira
Published in: Random Structures & Algorithms, Issue 50/2, 2017, Page(s) 183-200, ISSN 1042-9832
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/rsa.20652

A Generalized Turán Problem and its Applications

Author(s): Lior Gishboliner, Asaf Shapira
Published in: International Mathematics Research Notices, Issue 2020/11, 2018, Page(s) 3417-3452, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rny108

Tournament Quasirandomness from Local Counting

Author(s): Matija Bucić, Eoin Long, Asaf Shapira, Benny Sudakov
Published in: Combinatorica, 2021, ISSN 0209-9683
Publisher: Springer Verlag
DOI: 10.1007/s00493-020-4371-y

Two Erdős–Hajnal-type theorems in hypergraphs

Author(s): Michal Amir, Asaf Shapira, Mykhaylo Tyomkyn
Published in: Journal of Combinatorial Theory, Series B, Issue 146, 2021, Page(s) 417-438, ISSN 0095-8956
Publisher: Academic Press
DOI: 10.1016/j.jctb.2020.03.001

Counting Hamilton Decompositions of Oriented Graphs

Author(s): Asaf Ferber, Eoin Long, Benny Sudakov
Published in: International Mathematics Research Notices, Issue 2018/22, 2017, Page(s) 6908-6933, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnx085

Testing graphs against an unknown distribution

Author(s): Lior Gishboliner, Asaf Shapira
Published in: Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing - STOC 2019, 2019, Page(s) 535-546, ISBN 9781-450367059
Publisher: ACM Press
DOI: 10.1145/3313276.3316308

A generalized Turán problem and its applications

Author(s): Lior Gishboliner, Asaf Shapira
Published in: Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing - STOC 2018, 2018, Page(s) 760-772, ISBN 9781-450355599
Publisher: ACM Press
DOI: 10.1145/3188745.3188778

Removal lemmas with polynomial bounds

Author(s): Lior Gishboliner, Asaf Shapira
Published in: Proceedings of the 49th Annual ACM SIGACT Symposium on Theory of Computing - STOC 2017, 2017, Page(s) 510-522, ISBN 9781-450345286
Publisher: ACM Press
DOI: 10.1145/3055399.3055404

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