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1 Department of Mathematics Gainesville

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.

Keywords : composition generalized factor order Wilf-equivalence





Author: Jay Pantone - Vincent Vatter -

Source: https://hal.archives-ouvertes.fr/



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