Jonathan Bloom

activity

20112022

most citedProofs and generalizations of a homomesy conjecture of Propp and Roby

26 citations · 50 across the 12 of their papers we have counts for

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Showing 2011 · math.COShow all

2 papers · 2 filters

math.CO2011

A Simple Bijective Proof of the Shape-Wilf-Equivalence of the Patterns 231 and 312

Jonathan Bloom, Dan Saracino

Stankova and West proved in 2002 that the patterns 231 and 312 are shape-Wilf-equivalent. Their proof was nonbijective and fairly complicated. We give a new characterization of 231…

math.CO2011

Modified Growth Diagrams, Permutation Pivots, and the BXW map $ϕ^{*}$

Jonathan Bloom, Dan Saracino

In their paper [1] on Wilf-equivalence for singleton classes, Backelin, Xin, and West introduce a transformation $ϕ^{*}$ , defined by an iterative process and operating on (all) full…

A Simple Bijective Proof of the Shape-Wilf-Equivalence of the Patterns 231 and 312

Modified Growth Diagrams, Permutation Pivots, and the BXW map ϕ∗

Modified Growth Diagrams, Permutation Pivots, and the BXW map $ϕ^{*}$