Two-anticoloring of planar and related graphs

Autor: Daniel Berend, Ephraim Korach, Shira Zucker
Jazyk: angličtina
Rok vydání: 2005
Předmět:
Zdroj: Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AD,..., Iss Proceedings (2005)
Druh dokumentu: article
ISSN: 1365-8050
DOI: 10.46298/dmtcs.3388
Popis: An $\textit{anticoloring}$ of a graph is a coloring of some of the vertices, such that no two adjacent vertices are colored in distinct colors. We deal with the anticoloring problem with two colors for planar graphs, and, using Lipton and Tarjan's separation algorithm, provide an algorithm with some bound on the error. In the particular cases of graphs which are strong products of two paths or two cycles, we provide an explicit optimal solution.
Databáze: Directory of Open Access Journals