Handbook of Enumerative Combinatorics
CRC Press, Mar 24, 2015 - Mathematics - 1086 pages
Presenting the state of the art, the Handbook of Enumerative Combinatorics brings together the work of today's most prominent researchers. The contributors survey the methods of combinatorial enumeration along with the most frequent applications of these methods.This important new work is edited by Miklos Bona of the University of Florida where he
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algebraic algorithm applications asymptotic bijection bijective proof Bruijn Catalan numbers cell coefficients column Combin combinatorial compute conjecture connected graph contains Corollary corresponding counting cycle decomposition defined definition denote diagonal Discrete Math domino tilings Dyck paths elements entries enumeration enumerative equal equation equivalent Eulerian example exponential generating function Figure finite formal power series formula geometric given graph G grid classes growth rates hyperplane arrangement hyperplanes integer inversion labeled trees lattice paths Lemma linear Lyndon word Mathematics matrix matroid Möbius function multiset nodes non-intersecting obtained oriented pair parking functions partitions permutation classes planar graphs polytope poset positive integers problem Proposition prove random recurrence result rooted planar maps satisfies Section sequence shape skew spanning tree statistics steps subset suffix array symmetric tableaux Theorem theory tion Tutte polynomial variables Vatter vector vertex vertices weight