Excluded permutation matrices and the Stanley-Wilf conjecture

Journal of Combinatorial Theory. Series A

Volumn 107, Issue 1, 2004, Pages 153-160

  Marcus, Adam ^a   Tardos, Gábor ^a  

^a ALFRÉD RÉNYI INSTITUTE OF MATHEMATICS   (Hungary)

Author keywords

Extremal problems; Forbidden submatrices; Pattern avoidance; Stanley Wilf conjecture

Indexed keywords

EID: 3242734182     PISSN: 00973165     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcta.2004.04.002     Document Type: Article

References (17)

1. Alon N. Friedgut E. On the number of permutations avoiding a given pattern J. Combin. Theory Ser. A 89 2000 133-140
2. Arratia R. On the Stanley-Wilf conjecture for the number of permutations avoiding a given pattern, Electron. J. Combin. 6(1) 1999 1-4, http://www.combinatorics.org/Volume_6/Abstracts/v6i1n1.html
3. Bienstock D. Gyori E. An extremal problem on sparse 0-1 matrices SIAM J. Discrete Math. 4 1 1991 17-27
4. Bóna M. Exact and asymptotic enumeration of permutations with subsequence conditions, Ph.D. Thesis, MIT, Cambridge, MA, 1997.
5. Bóna M. The solution of a conjecture of Stanley and Wilf for all layered patterns J. Combin. Theory Ser. A 85 1999 96-104
6. Brass P. Károlyi G. Valtr P. A Turán-type extremal theory of convex geometric graphs in: Aronov B Basu S Pach J Sharir M (Eds.), Discrete and Computational Geometry-The Goodman-Pollack Festschrift 2003 275-300 Springer Berlin
7. Füredi Z. The maximum number of unit distances in a convex n-gon J. Combin. Theory Ser. A 55 2 1992 316-320
8. Füredi Z. Hajnal P. Davenport-Schinzel theory of matrices Discrete Math. 103 1992 231-251
9. Klazar M. A general upper bound in extremal theory of sequences Comment. Math. Univ. Carolin. 33 1992 737-746
10. Klazar M. Counting pattern-free set partitions I: a generalization of Stirling numbers of the second kind Europ. J. Combin. 21 2000 367-378
11. Klazar M. Counting pattern-free set partitions II: noncrossing and other hypergraphs Electron. J. Combin. R34 7 2000 25
12. Klazar M. The Füredi-Hajnal conjecture implies the Stanley-Wilf conjecture in: Krob D Mikhalev A.A Mikhalev A.V (Eds.), Formal Power Series and Algebraic Combinatorics 2000 250-255 Springer Berlin
13. Klazar M. Extremal problems for ordered (hyper)graphs: applications of Davenport-Schinzel sequences Europ. J. Combin. 25 2004 125-140
14. Pach J. Tardos G. Forbidden paths and cycles in ordered graphs and matrices, manuscript, 2004, http://www.renyi.hu/~tardos/papers.html
15. Regev A. Asymptotic values for degrees associated with strips of Young diagrams Adv. Math. 41 1981 115-136
16. Tardos G. On 0-1 matrices and small excluded submatrices, manuscript, 2004, http://www.renyi.hu/~tardos/papers.html
17. West J. Permutations with restricted subsequences and stack-sortable permutations, Ph.D. Thesis, MIT, Cambridge, MA, 1990.