The Sorting Index and Permutation Codes     Permutation statistics  Mahonian statistics  Coxeter groups  Set-valued statistics  Bijections       font style='font-size:12px;'> 2012/6/19

In the combinatorial study of the coefficients of a bivariate polynomial that generalizes both the length and the reflection length generating functions for finite Coxeter groups, Petersen introduced ...

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Expected Patterns in Permutation Classes     Expected Patterns  Permutation Classes  Combinatorics       font style='font-size:12px;'> 2012/6/15

In the set of all patterns in $S_n$, it is clear that each k-pattern occurs equally often. If we instead restrict to the class of permutations avoiding a specific pattern, the situation quickly become...

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Combinatorial specification of permutation classes     permutation classes  excluded patterns  substitution decomposition  simple permutations  generating functions  combinatorial specification  random generation       font style='font-size:12px;'> 2012/4/23

This article presents a methodology that automatically derives a combinatorial specification for the permutation class C = Av(B), given its basis B of excluded patterns and the set of simple permutati...

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Quasi-Permutation Representations of Groups of Order 64     Quasi-permutation representations  2-groups  Character theory       font style='font-size:12px;'> 2010/2/25

In [1], we gave algorithms to calculate c(G), q(G) and p(G) for a finite group G. In this paper, we will calculate c(G), q(G), p(G) for non-abelian groups G, where |G|=64.

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