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math.CO2024★ 1 cited
Maximum -colourable induced subgraphs in -free graphs
Cicely Henderson, Evelyne Smith-Roberge, Sophie Spirkl +1
We show that for any nonnegative integer , the Weighted Maximum List--Colourable Induced Subgraph problem can be solved in polynomial time for input graphs that do not contai…
math.CO2024
Graphs Identifiable by Degree Sequence and Chromatic Number
R. Whitman
Unigraphs are graphs identifiable up to isomorphism from their degree sequences. Given a class of graphs, we define the class of -unigraphs to be graphs…
math.CO2024
Trail Trap: a variant of Partizan Edge Geography
Calum Buchanan, MacKenzie Carr, Alexander Clifton +4
We study a two-player game played on undirected graphs called {\sc Trail Trap}, which is a variant of a game known as {\sc Partizan Edge Geography}. One player starts by choosing a…