Bivariate Chromatic Polynomials of Mixed Graphs

The bivariate chromatic polynomial $\chi_G(x,y)$ of a graph $G = (V, E)$, introduced by Dohmen-P\"{o}nitz-Tittmann (2003), counts all $x$-colorings of $G$ such that adjacent vertices get different colors if they are $\le y$. We extend this notion to mixed graphs, which have both directed an...

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Bibliographic Details
Main Authors: Matthias Beck, Sampada Kolhatkar
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2023-11-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:http://dmtcs.episciences.org/9595/pdf
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