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18] M. Axenovich and R. Martin, Avoiding patterns in matrices via a small number of changes, SIAM J. Discrete Math. 20 (2006), 49–54. [19] J. Balogh and B. Bollob´ as, Hereditary properties of words, Theor. Inform. Appl. 39 (2005), 49–65. [20] J. Balogh, B. Bollob´ as and R. Morris, Hereditary properties of ordered graphs, in Topics in Discrete Mathematics, pp. 179–213, Algorithms Combin. 26, Springer, Berlin, 2006. Hereditary and Monotone Properties of Combinatorial Structures 35 [21] J. Balogh, B.

117] R. Tijdeman, Periodicity and almost-periodicity, in More Sets, Graphs and Numbers, Bolyai Soc. Math. Stud. 15, Springer, Berlin, 2006, pp. 381–405. [118] P. Tur´ an, On an extremal problem in graph theory (in Hungarian), Mat. Fiz. Lapok 48 (1941) 436–452. [119] H. S. Wilf, The patterns of permutations, Discrete Math. 257 (2002), 575–583. Department of Pure Mathematics and Mathematical Statistics University of Cambridge, Cambridge, UK and Department of Mathematical Sciences University of Memphis, Memphis, TN, USA.

81] T. Kaiser and M. Klazar, On growth rates of closed permutation classes, Electron. J. Combin. 9 (2002/03), no. 2, Research paper 10, 20 pp. (electronic) [82] T. Kamae and L. Zamboni, Sequence entropy and the maximal pattern complexity of infinite words, Ergod. Th. and Dynam. Sys. 22 (2002), 1191–1199. 38 B. Bollob´as [83] T. Kamae and L. Zamboni, Maximal pattern complexity for discrete systems, Ergod. Th. and Dynam. Sys. 22 (2002), 1201–1214. [84] M. Klazar, The F¨ uredi–Hajnal conjecture implies the Stanley–Wilf conjecture, in Formal Power Series and Algebraic Combinatorics (Proc.

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