Exact Enumeration of 1342-Avoiding Permutations: A Close Link with Labeled Trees and Planar Maps

Solving the first nonmonotonic, longer-than-three instance of a classic enumeration problem, we obtain the generating functionH(x) of all 1342-avoiding permutations of lengthnas well as anexactformula for their numberSn(1342). While achieving this, we bijectively prove that the number of indecomposa...

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Bibliographic Details
Published in:Journal of combinatorial theory. Series A Vol. 80; no. 2; pp. 257 - 272
Main Author: Bóna, Miklós
Format: Journal Article
Language:English
Published: Elsevier Inc 01.11.1997
ISSN:0097-3165, 1096-0899
Online Access:Get full text
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