Enumerative combinatorics
Bootstrap percolation, the Schro¨der numbers, and the N-kings problem
SIAM Journal on Discrete Mathematics
Selected papers of the conference on Formal power series and algebraic combinatorics
A k-structure generalization of the theory of 2-structures
Theoretical Computer Science
On the closure of graphs under substitution
Discrete Mathematics
Exact enumeration of 1342-avoiding permutations: a close link with labeled trees and planar maps
Journal of Combinatorial Theory Series A
Discrete Mathematics
Enumeration of vexillary involutions which are equal to their mirror/complement
Discrete Mathematics
Regular Article: Restricted 132-Avoiding Permutations
Advances in Applied Mathematics
132-avoiding two-stack sortable permutations, Fibonacci numbers, and Pell numbers
Discrete Applied Mathematics
Decreasing Subsequences in Permutations and Wilf Equivalence for Involutions
Journal of Algebraic Combinatorics: An International Journal
Simple permutations: Decidability and unavoidable substructures
Theoretical Computer Science
Simple permutations: Decidability and unavoidable substructures
Theoretical Computer Science
Small configurations in simple permutations
European Journal of Combinatorics
Substitution-closed pattern classes
Journal of Combinatorial Theory Series A
Hi-index | 0.00 |
A simple permutation is one that never maps a nontrivial contiguous set of indices contiguously. Given a set of permutations that is closed under taking subpermutations and contains only finitely many simple permutations, we provide a framework for enumerating subsets that are restricted by properties belonging to a finite ''query-complete set.'' Such properties include being even, being an alternating permutation, and avoiding a given generalised (blocked or barred) pattern. We show that the generating functions for these subsets are always algebraic, thereby generalising recent results of Albert and Atkinson. We also apply these techniques to the enumeration of involutions and cyclic closures.