Diego Cifuentes - On the degree-chromatic polynomial of a tree

dmtcs:3020 - Discrete Mathematics & Theoretical Computer Science, January 1, 2012, DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012) - https://doi.org/10.46298/dmtcs.3020
On the degree-chromatic polynomial of a tree

Authors: Diego Cifuentes 1

  • 1 Departamento de Matematicas [Univ de los Andes Colombia]

The degree chromatic polynomial $P_m(G,k)$ of a graph $G$ counts the number of $k$ -colorings in which no vertex has m adjacent vertices of its same color. We prove Humpert and Martin's conjecture on the leading terms of the degree chromatic polynomial of a tree.

https://doi.org/10.46298/dmtcs.3020
Source: HAL:hal-01283152v1
Volume: DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
Section: Proceedings
Published on: January 1, 2012
Imported on: January 31, 2017
Keywords: chromatic polynomial, graph coloring, tree,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]

Linked publications - datasets - softwares

Source : ScholeXplorer IsRelatedTo ARXIV 1012.4786
Source : ScholeXplorer IsRelatedTo DOI 10.1137/110820075
Source : ScholeXplorer IsRelatedTo DOI 10.46298/dmtcs.2930
Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.1012.4786
  • 1012.4786
  • 10.48550/arxiv.1012.4786
  • 10.1137/110820075
  • 10.1137/110820075
  • 10.46298/dmtcs.2930
  • 10.46298/dmtcs.2930
The Incidence Hopf Algebra of Graphs

Share and export

Consultation statistics

This page has been seen 224 times.
This article's PDF has been downloaded 374 times.