10 citations · 19 across the 9 of their papers we have counts for
4 papers · 1 filter
A New Approach to Enumerating Statistics Modulo
William Kuszmaul
We find a new approach to computing the remainder of a polynomial modulo ; such a computation is called modular enumeration. Given a polynomial with coefficients from a comm…
New Results on Doubly Adjacent Pattern-Replacement Equivalences
William Kuszmaul
In this paper, we consider the family of pattern-replacement equivalence relations referred to as the "indices and values adjacent" case. Each such equivalence is determined by a p…
Equivalence Classes in for Three Families of Pattern-Replacement Relations
William Kuszmaul, Ziling Zhou
We study a family of equivalence relations on , the group of permutations on letters, created in a manner similar to that of the Knuth relation and the forgotten relation.…
Counting Permutations Modulo Pattern-Replacement Equivalences for Three-Letter Patterns
William Kuszmaul
We study a family of equivalence relations on , the group of permutations on letters, created in a manner similar to that of the Knuth relation and the forgotten relation.…