3 papers
math.CO2026
Decomposing tournaments into comparability graphs
Pierre Aboulker, Logan Crew, Julien Duron +7
In this note, we introduce the \emph{partial order decomposition number} of a digraph , denoted , defined as the minimum integer such that $A(D)=A(P_1)\cup\cdots\cup…
math.CO2026
Characterizing Large Clique Number in Tournaments
Logan Crew, Xinyue Fan, Hidde Koerts +2
Aboulker, Aubian, Charbit, and Lopes (2023) defined the clique number of a tournament to be the minimum clique number of one of its backedge graphs. Here we show that if is a t…
math.CO2025
e-basis Coefficients of Chromatic Symmetric Functions
Logan Crew, Yongxing Zhang
A well-known result of Stanley's shows that given a graph with chromatic symmetric function expanded into the basis of elementary symmetric functions as ,…