Encyclopedia of Algorithms

Living Edition
| Editors: Ming-Yang Kao

Graph Coloring

Living reference work entry
DOI: https://doi.org/10.1007/978-3-642-27848-8_170-2

Keywords and Synonyms

Clique cover, Graph coloring, Approximation algorithms, Semidefinite

Years and Authors of Summarized Original Work

1994, 1998; Karger, Motwani, Sudan

Problem Definition

An independent set in an undirected graph G = (V, E) is a set of vertices that induce a subgraph which does not contain any edges. The size of the maximum independent set in G is denoted by α(G). For an integer k, a k-coloring of G is a function \(\sigma : V \rightarrow [1\ldots k]\)

Keywords

Approximation Ratio Chromatic Number Vertex Cover Graph Coloring Color Class 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Department of Electrical Engineering, The State University of New York at BuffaloBuffalo, NYUSA