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Mathias Schacht
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- affiliation: University of Hamburg, Germany
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Books and Theses
- 2010
- [b1]Mathias Schacht:
Regular partitions of hypergraphs and property testing. HU Berlin, Germany, 2010
Journal Articles
- 2022
- [j69]Pedro Araújo, Simón Piga, Mathias Schacht:
Localized Codegree Conditions for Tight Hamilton Cycles in 3-Uniform Hypergraphs. SIAM J. Discret. Math. 36(1): 147-169 (2022) - 2021
- [j68]Deepak Bal, Ross Berkowitz, Pat Devlin, Mathias Schacht:
Hamiltonian Berge cycles in random hypergraphs. Comb. Probab. Comput. 30(2): 228-238 (2021) - [j67]Deepak Bal, Ross Berkowitz, Pat Devlin, Mathias Schacht:
Finding tight Hamilton cycles in random hypergraphs faster. Comb. Probab. Comput. 30(2): 239-257 (2021) - [j66]Dennis Clemens, Meysam Miralaei, Damian Reding, Mathias Schacht, Anusch Taraz:
On the size-Ramsey number of grid graphs. Comb. Probab. Comput. 30(5): 670-685 (2021) - [j65]Hiêp Hàn, Troy Retter, Vojtech Rödl, Mathias Schacht:
Ramsey-type numbers involving graphs and hypergraphs with large girth. Comb. Probab. Comput. 30(5): 722-740 (2021) - [j64]Sylwia Antoniuk, Andrzej Dudek, Christian Reiher, Andrzej Rucinski, Mathias Schacht:
High powers of Hamiltonian cycles in randomly augmented graphs. J. Graph Theory 98(2): 255-284 (2021) - 2020
- [j63]Oliver Ebsen, Mathias Schacht:
Homomorphism Thresholds for Odd Cycles. Comb. 40(1): 39-62 (2020) - [j62]Heiner Oberkampf, Mathias Schacht:
On the structure of Dense graphs with bounded clique number. Comb. Probab. Comput. 29(5): 641-649 (2020) - [j61]Andrzej Dudek, Christian Reiher, Andrzej Rucinski, Mathias Schacht:
Powers of Hamiltonian cycles in randomly augmented graphs. Random Struct. Algorithms 56(1): 122-141 (2020) - [j60]Bhargav P. Narayanan, Mathias Schacht:
Sharp thresholds for nonlinear Hamiltonian cycles in hypergraphs. Random Struct. Algorithms 57(1): 244-255 (2020) - [j59]Oliver Ebsen, Giulia S. Maesaka, Christian Reiher, Mathias Schacht, Bjarne Schülke:
Embedding spanning subgraphs in uniformly dense and inseparable graphs. Random Struct. Algorithms 57(4): 1077-1096 (2020) - 2019
- [j58]Wiebke Bedenknecht, Guilherme Oliveira Mota, Christian Reiher, Mathias Schacht:
On the local density problem for graphs of given odd-girth. J. Graph Theory 90(2): 137-149 (2019) - 2018
- [j57]Josefran de Oliveira Bastos, Guilherme Oliveira Mota, Mathias Schacht, Jakob Schnitzer, Fabian Schulenburg:
Loose Hamiltonian cycles forced by large (k-2)-degree - sharp version. Contributions Discret. Math. 13(2) (2018) - [j56]Elad Aigner-Horev, David Conlon, Hiêp Hàn, Yury Person, Mathias Schacht:
Quasirandomness in Hypergraphs. Electron. J. Comb. 25(3): 3 (2018) - [j55]Christian Reiher, Vojtech Rödl, Mathias Schacht:
Hypergraphs with vanishing Turán density in uniformly dense hypergraphs. J. Lond. Math. Soc. 97(1): 77-97 (2018) - [j54]Mathias Schacht, Fabian Schulenburg:
Sharp thresholds for Ramsey properties of strictly balanced nearly bipartite graphs. Random Struct. Algorithms 52(1): 3-40 (2018) - [j53]Brendan Nagle, Vojtech Rödl, Mathias Schacht:
An algorithmic hypergraph regularity lemma. Random Struct. Algorithms 52(2): 301-353 (2018) - 2017
- [j52]Vojtech Rödl, Andrzej Rucinski, Mathias Schacht:
An exponential-type upper bound for Folkman numbers. Comb. 37(4): 767-784 (2017) - [j51]Vojtech Rödl, Andrzej Rucinski, Mathias Schacht:
Ramsey properties of random graphs and Folkman numbers. Discuss. Math. Graph Theory 37(3): 755-776 (2017) - [j50]Yoshiharu Kohayakawa, Guilherme Oliveira Mota, Mathias Schacht, Anusch Taraz:
Counting results for sparse pseudorandom hypergraphs I. Eur. J. Comb. 65: 276-287 (2017) - [j49]Yoshiharu Kohayakawa, Guilherme Oliveira Mota, Mathias Schacht, Anusch Taraz:
Counting results for sparse pseudorandom hypergraphs II. Eur. J. Comb. 65: 288-301 (2017) - [j48]Elad Aigner-Horev, David Conlon, Hiêp Hàn, Yury Person, Mathias Schacht:
Quasirandomness in hypergraphs. Electron. Notes Discret. Math. 61: 13-19 (2017) - [j47]Josefran de Oliveira Bastos, Guilherme Oliveira Mota, Mathias Schacht, Jakob Schnitzer, Fabian Schulenburg:
Loose Hamiltonian cycles forced by large (k - 2)-degree - sharp version. Electron. Notes Discret. Math. 61: 101-106 (2017) - [j46]Yoshiharu Kohayakawa, Guilherme Oliveira Mota, Mathias Schacht:
Monochromatic trees in random graphs. Electron. Notes Discret. Math. 61: 759-764 (2017) - [j45]Wiebke Bedenknecht, Guilherme Oliveira Mota, Christian Reiher, Mathias Schacht:
On the local density problem for graphs of given odd-girth. Electron. Notes Discret. Math. 62: 39-44 (2017) - [j44]Josefran de Oliveira Bastos, Guilherme Oliveira Mota, Mathias Schacht, Jakob Schnitzer, Fabian Schulenburg:
Loose Hamiltonian Cycles Forced by Large (k-2)-Degree - Approximate Version. SIAM J. Discret. Math. 31(4): 2328-2347 (2017) - 2016
- [j43]Josefran de Oliveira Bastos, Guilherme Oliveira Mota, Mathias Schacht, Jakob Schnitzer, Fabian Schulenburg:
Loose Hamiltonian cycles forced by (k - 2)-degree - approximate version. Electron. Notes Discret. Math. 54: 325-330 (2016) - [j42]Silvia Messuti, Vojtech Rödl, Mathias Schacht:
Packing minor-closed families of graphs into complete graphs. J. Comb. Theory B 119: 245-265 (2016) - [j41]Christian Reiher, Vojtech Rödl, Mathias Schacht:
Embedding tetrahedra into quasirandom hypergraphs. J. Comb. Theory B 121: 229-247 (2016) - 2015
- [j40]Guilherme Oliveira Mota, Gábor N. Sárközy, Mathias Schacht, Anusch Taraz:
Ramsey numbers for bipartite graphs with small bandwidth. Eur. J. Comb. 48: 165-176 (2015) - [j39]Silvia Messuti, Vojtech Rödl, Mathias Schacht:
Packing minor closed families of graphs. Electron. Notes Discret. Math. 49: 651-659 (2015) - [j38]Yoshiharu Kohayakawa, Guilherme Oliveira Mota, Mathias Schacht, Anusch Taraz:
A counting lemma for sparse pseudorandom hypergraphs. Electron. Notes Discret. Math. 50: 421-426 (2015) - [j37]Hiêp Hàn, Troy Retter, Vojtech Rödl, Mathias Schacht:
Ramsey-type numbers involving graphs and hypergraphs with large girth. Electron. Notes Discret. Math. 50: 457-463 (2015) - [j36]Silvia Messuti, Mathias Schacht:
On the Structure of Graphs with Given Odd Girth and Large Minimum Degree. J. Graph Theory 80(1): 69-81 (2015) - 2014
- [j35]Elad Aigner-Horev, Hiêp Hàn, Mathias Schacht:
Extremal results for odd cycles in sparse pseudorandom graphs. Comb. 34(4): 379-406 (2014) - [j34]Yoshiharu Kohayakawa, Mathias Schacht, Reto Spöhel:
Upper bounds on probability thresholds for asymmetric Ramsey properties. Random Struct. Algorithms 44(1): 1-28 (2014) - 2013
- [j33]Elad Aigner-Horev, Hiêp Hàn, Mathias Schacht:
Extremal results for odd cycles in sparse pseudorandom graphs. Electron. Notes Discret. Math. 44: 385-391 (2013) - [j32]Enno Buß, Hiêp Hàn, Mathias Schacht:
Minimum vertex degree conditions for loose Hamilton cycles in 3-uniform hypergraphs. J. Comb. Theory B 103(6): 658-678 (2013) - 2012
- [j31]Domingos Dellamonica Jr., Penny E. Haxell, Tomasz Luczak, Dhruv Mubayi, Brendan Nagle, Yury Person, Vojtech Rödl, Mathias Schacht, Jacques Verstraëte:
On Even-Degree Subgraphs of Linear Hypergraphs. Comb. Probab. Comput. 21(1-2): 113-127 (2012) - [j30]David Conlon, Hiêp Hàn, Yury Person, Mathias Schacht:
Weak quasi-randomness for uniform hypergraphs. Random Struct. Algorithms 40(1): 1-38 (2012) - [j29]Vojtech Rödl, Mathias Schacht:
Complete Partite subgraphs in dense hypergraphs. Random Struct. Algorithms 41(4): 557-573 (2012) - 2011
- [j28]Mihyun Kang, Oleg Pikhurko, Alexander Ravsky, Mathias Schacht, Oleg Verbitsky:
Untangling planar graphs from a specified vertex position - Hard cases. Discret. Appl. Math. 159(8): 789-799 (2011) - [j27]Yury Person, Mathias Schacht:
An expected polynomial time algorithm for coloring 2-colorable 3-graphs. Discret. Math. Theor. Comput. Sci. 13(2): 1-18 (2011) - [j26]Enno Buß, Hiêp Hàn, Mathias Schacht:
Minimum vertex degree conditions for loose Hamilton cycles in 3-uniform hypergraphs. Electron. Notes Discret. Math. 38: 207-212 (2011) - [j25]Hiêp Hàn, Yury Person, Mathias Schacht:
Note on forcing pairs. Electron. Notes Discret. Math. 38: 437-442 (2011) - 2010
- [j24]Yoshiharu Kohayakawa, Brendan Nagle, Vojtech Rödl, Mathias Schacht:
Weak hypergraph regularity and linear hypergraphs. J. Comb. Theory B 100(2): 151-160 (2010) - [j23]Hiêp Hàn, Mathias Schacht:
Dirac-type results for loose Hamilton cycles in uniform hypergraphs. J. Comb. Theory B 100(3): 332-346 (2010) - [j22]Ehud Friedgut, Vojtech Rödl, Mathias Schacht:
Ramsey properties of random discrete structures. Random Struct. Algorithms 37(4): 407-436 (2010) - [j21]Noga Alon, Amin Coja-Oghlan, Hiêp Hàn, Mihyun Kang, Vojtech Rödl, Mathias Schacht:
Quasi-Randomness and Algorithmic Regularity for Graphs with General Degree Distributions. SIAM J. Comput. 39(6): 2336-2362 (2010) - [j20]Jan Hladký, Mathias Schacht:
Note on Bipartite Graph Tilings. SIAM J. Discret. Math. 24(2): 357-362 (2010) - 2009
- [j19]Vojtech Rödl, Mathias Schacht:
Generalizations of the removal lemma. Comb. 29(4): 467-501 (2009) - [j18]Hanno Lefmann, Yury Person, Vojtech Rödl, Mathias Schacht:
On Colourings of Hypergraphs Without Monochromatic Fano Planes. Comb. Probab. Comput. 18(5): 803-818 (2009) - [j17]Yury Person, Mathias Schacht:
An expected polynomial time algorithm for coloring 2-colorable 3-graphs. Electron. Notes Discret. Math. 34: 465-469 (2009) - [j16]Hiêp Hàn, Yury Person, Mathias Schacht:
Note on strong refutation algorithms for random k-SAT formulas. Electron. Notes Discret. Math. 35: 157-162 (2009) - [j15]Hiêp Hàn, Yury Person, Mathias Schacht:
On Perfect Matchings in Uniform Hypergraphs with Large Minimum Vertex Degree. SIAM J. Discret. Math. 23(2): 732-748 (2009) - 2008
- [j14]Brendan Nagle, Vojtech Rödl, Mathias Schacht:
Note on the 3-graph counting lemma. Discret. Math. 308(19): 4501-4517 (2008) - [j13]Brendan Nagle, Sayaka Olsen, Vojtech Rödl, Mathias Schacht:
On the Ramsey Number of Sparse 3-Graphs. Graphs Comb. 24(3): 205-228 (2008) - [j12]Julia Böttcher, Mathias Schacht, Anusch Taraz:
Spanning 3-colourable subgraphs of small bandwidth in dense graphs. J. Comb. Theory B 98(4): 752-777 (2008) - 2007
- [j11]Vojtech Rödl, Mathias Schacht:
Regular Partitions of Hypergraphs: Regularity Lemmas. Comb. Probab. Comput. 16(6): 833-885 (2007) - [j10]Vojtech Rödl, Mathias Schacht:
Regular Partitions of Hypergraphs: Counting Lemmas. Comb. Probab. Comput. 16(6): 887-901 (2007) - [j9]Julia Böttcher, Mathias Schacht, Anusch Taraz:
Embedding spanning subgraphs of small bandwidth. Electron. Notes Discret. Math. 29: 485-489 (2007) - [j8]Vojtech Rödl, Mathias Schacht, Mark H. Siggers, Norihide Tokushige:
Integer and fractional packings of hypergraphs. J. Comb. Theory B 97(2): 245-268 (2007) - [j7]Yoshiharu Kohayakawa, Vojtech Rödl, Mathias Schacht, Papa A. Sissokho, Jozef Skokan:
Turán's theorem for pseudo-random graphs. J. Comb. Theory A 114(4): 631-657 (2007) - [j6]Christian Avart, Vojtech Rödl, Mathias Schacht:
Every Monotone 3-Graph Property is Testable. SIAM J. Discret. Math. 21(1): 73-92 (2007) - [j5]Vojtech Rödl, Andrzej Rucinski, Mathias Schacht:
Ramsey Properties of Random k-Partite, k-Uniform Hypergraphs. SIAM J. Discret. Math. 21(2): 442-460 (2007) - 2006
- [j4]Brendan Nagle, Vojtech Rödl, Mathias Schacht:
The counting lemma for regular k-uniform hypergraphs. Random Struct. Algorithms 28(2): 113-179 (2006) - 2005
- [j3]Mathias Schacht, Anusch Taraz:
Globally bounded local edge colourings of hypergraphs. Electron. Notes Discret. Math. 19: 179-185 (2005) - [j2]Christian Avart, Vojtech Rödl, Mathias Schacht:
Every Monotone 3-Graph Property is Testable. Electron. Notes Discret. Math. 22: 539-542 (2005) - 2004
- [j1]Yoshiharu Kohayakawa, Vojtech Rödl, Mathias Schacht:
The Turán Theorem for Random Graphs. Comb. Probab. Comput. 13(1): 61-91 (2004)
Conference and Workshop Papers
- 2024
- [c9]Elad Aigner-Horev, Dan Hefetz, Mathias Schacht:
Ramsey Properties of Randomly Perturbed Hypergraphs. APPROX/RANDOM 2024: 59:1-59:18 - 2023
- [c8]Nina Kamcev, Mathias Schacht:
Canonical colourings in random graphs. LAGOS 2023: 5-12 - 2021
- [c7]Sören Berger, Simón Piga, Christian Reiher, Vojtech Rödl, Mathias Schacht:
Turán density of cliques of order five in 3-uniform hypergraphs with quasirandom links. LAGOS 2021: 412-418 - 2016
- [c6]Brendan Nagle, Vojtech Rödl, Mathias Schacht:
An Algorithmic Hypergraph Regularity Lemma. SODA 2016: 1765-1773 - 2009
- [c5]Yury Person, Mathias Schacht:
Almost all hypergraphs without Fano planes are bipartite. SODA 2009: 217-226 - [c4]Brendan Nagle, Annika Poerschke, Vojtech Rödl, Mathias Schacht:
Hypergraph regularity and quasi-randomness. SODA 2009: 227-235 - 2007
- [c3]Noga Alon, Amin Coja-Oghlan, Hiêp Hàn, Mihyun Kang, Vojtech Rödl, Mathias Schacht:
Quasi-randomness and Algorithmic Regularity for Graphs with General Degree Distributions. ICALP 2007: 789-800 - [c2]Julia Böttcher, Mathias Schacht, Anusch Taraz:
On the bandwidth conjecture for 3-colourable graphs. SODA 2007: 618-626 - [c1]Vojtech Rödl, Mathias Schacht:
Property testing in hypergraphs and the removal lemma. STOC 2007: 488-495
Informal and Other Publications
- 2008
- [i1]Mihyun Kang, Oleg Pikhurko, Alexander Ravsky, Mathias Schacht, Oleg Verbitsky:
Obfuscated Drawings of Planar Graphs. CoRR abs/0803.0858 (2008)
Coauthor Index
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