Asymptotic enumeration methods
Handbook of combinatorics (vol. 2)
Analytic combinatorics of non-crossing configurations
Discrete Mathematics - Special issue on selected papers in honor of Henry W. Gould
Discrete Mathematics
Discrete Mathematics - Kleitman and combinatorics: a celebration
A bijective proof of an identity for noncrossing graphs
Discrete Mathematics
Extremal problems for ordered (hyper)graphs: applications of Davenport-Schinzel sequences
European Journal of Combinatorics
Excluded permutation matrices and the Stanley-Wilf conjecture
Journal of Combinatorial Theory Series A
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Functions exe(F,n) and exi(F,n) count edges and vertex-edge incidences in extremal n-vertex hypergraphs avoiding, in the ordered sense, a hypergraph F. We determine them exactly for F consisting of distinct singleton edges and give a survey of exact results for the 55 hypergraphs F with at most four incidences. In the enumerative part we give formulae and recurrences for the numbers of hypergraphs with n incidences. We find rough asymptotics of these numbers and derive identities analogous to Dobinski's formula for Bell numbers.