Séminaire Lotharingien de Combinatoire, 80B.3 (2018), 12 pp.
Isaac Konan
A Bijective Proof and Generalization of Siladić's Theorem
Abstract.
In a recent paper, Dousse introduced a refinement of Siladić's theorem on partitions, where parts occur in two primary and three secondary colors. Her proof used the method of weighted words and $q$-difference equations.
The purpose of this extended abstract is to sketch a bijective proof of Dousse's theorem and show how it can be generalized from two primary colors to an arbitrary number of primary colors.
Received: November 14, 2017.
Accepted: February 17, 2018.
Final version: April 1, 2018.
The following versions are available: