Burnside Chromatic Polynomials of Group-Invariant Graphs

We introduce the Burnside chromatic polynomial of a graph that is invariant under a group action. This is a generalization of the Q-chromatic function Zaslavsky introduced for gain graphs. Given a group 𝕲 acting on a graph G and a 𝕲-set X, a proper X-coloring is a function with no monochromatic edge...

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Bibliographic Details
Main Author: White Jacob A.
Format: Article
Language:English
Published: University of Zielona Góra 2023-02-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2385