The maximum number of unit distances in a convex n-gon
Journal of Combinatorial Theory Series A
An extremal problem on sparse 0-1 matrices
SIAM Journal on Discrete Mathematics
Davenport-Schnizel theory of matrices
Discrete Mathematics
The solution of a conjecture of Stanley and Wilf for all layered patterns
Journal of Combinatorial Theory Series A
On the number of permutations avoiding a given pattern
Journal of Combinatorial Theory Series A
Counting pattern-free set partitions I: a generalization of Stirling numbers of the second kind
European Journal of Combinatorics
Extremal problems for ordered (hyper)graphs: applications of Davenport-Schinzel sequences
European Journal of Combinatorics
On 0-1 matrices and small excluded submatrices
Journal of Combinatorial Theory Series A
Extremal problems for ordered hypergraphs: small patterns and some enumeration
Discrete Applied Mathematics
Forbidden patterns and unit distances
SCG '05 Proceedings of the twenty-first annual symposium on Computational geometry
On 0-1 matrices and small excluded submatrices
Journal of Combinatorial Theory Series A
Hereditary properties of partitions, ordered graphs and ordered hypergraphs
European Journal of Combinatorics - Special issue on extremal and probabilistic combinatorics
New records in Stanley-Wilf limits
European Journal of Combinatorics
On the length of the longest subsequence avoiding an arbitrary pattern in a random permutation
Random Structures & Algorithms
Note: On linear forbidden submatrices
Journal of Combinatorial Theory Series A
On constants in the Füredi--Hajnal and the Stanley--Wilf conjecture
Journal of Combinatorial Theory Series A
Improved bounds and new techniques for Davenport--Schinzel sequences and their generalizations
SODA '09 Proceedings of the twentieth Annual ACM-SIAM Symposium on Discrete Algorithms
Restricted k-ary words and functional equations
Discrete Applied Mathematics
On grids in topological graphs
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Note: Extremal functions of forbidden double permutation matrices
Journal of Combinatorial Theory Series A
Pattern Matching for 321-Avoiding Permutations
ISAAC '09 Proceedings of the 20th International Symposium on Algorithms and Computation
Improved bounds and new techniques for Davenport--Schinzel sequences and their generalizations
Journal of the ACM (JACM)
On nonlinear forbidden 0-1 matrices: a refutation of a Füredi-Hajnal conjecture
SODA '10 Proceedings of the twenty-first annual ACM-SIAM symposium on Discrete Algorithms
Applications of forbidden 0-1 matrices to search tree and path compression-based data structures
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Journal of Combinatorial Theory Series A
The structure of almost all graphs in a hereditary property
Journal of Combinatorial Theory Series B
Low Distortion Maps Between Point Sets
SIAM Journal on Computing
Generalized Davenport-Schinzel sequences and their 0-1 matrix counterparts
Journal of Combinatorial Theory Series A
On the structure and composition of forbidden sequences, with geometric applications
Proceedings of the twenty-seventh annual symposium on Computational geometry
Grid classes and partial well order
Journal of Combinatorial Theory Series A
Origins of Nonlinearity in Davenport-Schinzel Sequences
SIAM Journal on Discrete Mathematics
Tight bounds on the maximum size of a set of permutations with bounded VC-dimension
Proceedings of the twenty-third annual ACM-SIAM symposium on Discrete Algorithms
Tight bounds on the maximum size of a set of permutations with bounded VC-dimension
Journal of Combinatorial Theory Series A
Upper bounds for the Stanley-Wilf limit of 1324 and other layered patterns
Journal of Combinatorial Theory Series A
A note on permutation regularity
Discrete Applied Mathematics
Avoidance of boxed mesh patterns on permutations
Discrete Applied Mathematics
Longest common separable pattern among permutations
CPM'07 Proceedings of the 18th annual conference on Combinatorial Pattern Matching
Set systems and families of permutations with small traces
European Journal of Combinatorics
A probabilistic approach to consecutive pattern avoiding in permutations
Journal of Combinatorial Theory Series A
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This paper examines the extremal problem of how many 1-entries an n × n 0-1 matrix can have that avoids a certain fixed submatrix P. For any permutation matrix P we prove a linear bound, settling a conjecture of Zoltán Füredi and Péter Hajnal (Discrete Math. 103(1992) 233). Due to the work of Martin Klazar (D. Krob, A.A. Mikhalev, A.V. Mikhalev (Eds.), Formal Power Series and Algebraics Combinatorics, Springer, Berlin, 2000, pp. 250-255), this also settles the conjecture of Stanley and Wilf on the number of n -permutations avoiding a fixed permutation and a related conjecture of Alon and Friedgut (J. Combin Theory Ser A 89(2000) 133).