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arXiv · 1403.5014

On the Rearrangement Conjecture for Generalized Factor Order Over $\mathbb{P}$

Jay Pantone·Vincent Vatter
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Abstract

The Rearrangement Conjecture states that if two words over $\mathbb{P}$ are Wilf-equivalent in the factor order on $\mathbb{P}^\ast$ then they are rearrangements of each other. We introduce the notion of strong Wilf-equivalence and prove that if two words over $\mathbb{P}$ are strongly Wilf-equivalent then they are rearrangements of each other. We further conjecture that Wilf-equivalence implies strong Wilf-equivalence.

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Jay Pantone, Vincent Vatter. 2014-09-11. On the Rearrangement Conjecture for Generalized Factor Order Over $\mathbb{P}$. https://arxiv.org/abs/1403.5014

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