Chicago Journal of Theoretical Computer Science

Volume 2000

Article 1

Published by MIT Press. Copyright 2000 Massachusetts Institute of Technology.

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Heuristics Versus Completeness in Graph Coloring

Jörg Rothe (Friedrich-Schiller Universität, Jena, Germany)
29 February 2000

We study the complexity of the problem of graph 3-coloring when restricted to those input graphs on which a given graph coloring heuristic is able to solve the problem. The heuristics we consider include the sequential algorithm traversing the vertices of the graph in various orderings (e.g., by decreasing degree or in the recursive smallest-last order) as well as Wood's algorithm. For each heuristic considered here, we prove that the corresponding restriction of 3-coloring remains NP-complete.

DOI: 10.4086/cjtcs.2000.001
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