Shift equivalence in the generalized factor order

TL;DR

This paper introduces a geometric condition that ensures strong Wilf equivalence in the generalized factor order, offering a new method to establish equivalences with several examples.

Contribution

It presents a novel geometric criterion for strong Wilf equivalence in the generalized factor order, enhancing the toolkit for combinatorial equivalence proofs.

Findings

Provides a geometric condition guaranteeing strong Wilf equivalence

Enables proof of specific and general Wilf equivalence results

Includes multiple illustrative examples

Abstract

We provide a geometric condition that guarantees strong Wilf equivalence in the generalized factor order. This provides a powerful tool for proving specific and general Wilf equivalence results, and several such examples are given.