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Author Herrmann, Francine ♦ Hertz, Alain
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Copyright Year ©2002
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Computer programming, programs & data
Subject Keyword Algorithms ♦ Experimentation ♦ Performance
Abstract We propose a new exact algorithm for finding the chromatic number of a graph $\textit{G}.$ The algorithm attempts to determine the smallest possible induced subgraph $\textit{G'}$ of $\textit{G}$ which has the same chromatic number as $\textit{G}.$ Such a subgraph is said critical since all proper induced sub-graph of $\textit{G'}$ have a chromatic number strictly smaller than $\textit{G'}.The$ proposed method is particularly helpful when a $\textit{k}-coloring$ of a non-critical graph is known, and it has to be proved that no $(\textit{k}-1)-coloring$ of $\textit{G}$ exists. Computational experiments on random graphs and on DIMACS benchmark problems demonstate that the new proposed algorithm can solve larger problem than previous known exact methods.
ISSN 10846654
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2002-12-01
Publisher Place New York
e-ISSN 10846654
Journal Journal of Experimental Algorithmics (JEA)
Volume Number 7
Starting Page 10

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Source: ACM Digital Library