Some equinumerous pattern-avoiding classes of permutations

Suppose that p,q,r,s are non-negative integers with m=p+q+r+s. The class X(p,q,r,s) of permutations that contain no pattern of the form αβγ where |α|=r, |γ|=s and β is any arrangement of {1,2,…,p}∪{m-q+1, m-q+2, …,m} is considered. A recurrence relation to enumerate the permutations of X(...

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Bibliographic Details
Main Author: M. D. Atkinson
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2005-12-01
Series:Discrete Mathematics & Theoretical Computer Science
Online Access:http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/62