3 papers
math.CO2019
A Deletion-Contraction Relation for the Chromatic Symmetric Function
Logan Crew, Sophie Spirkl
We extend the definition of the chromatic symmetric function to include graphs with a vertex-weight function . We show how this provides…
math.CO2019
Disproportionate division
Logan Crew, Bhargav Narayanan, Sophie Spirkl
We study the disproportionate version of the classical cake-cutting problem: how efficiently can we divide a cake, here , among agents with different demands $α_1, α_2,…
math.RT2018
Branching Rules For Splint Root Systems
Logan Crew, Alexandre A. Kirillov, Yao-Rui Yeo
A root system is splint if it is a decomposition into a union of two root systems. Examples of such root systems arise naturally in studying embeddings of reductive Lie subalgebras…