Jay Pantone

John Wesley Young Research Instructor
Dartmouth College

jaypantone@dartmouth.edu


On the Rearrangement Conjecture for Generalized Factor Order over \(\mathbb{P}\)

with Vincent Vatter

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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