The problem to decide whether a graph is 3-colorable is NP-complete. We show that if G is a locally connected graph (neighborhood of each vertex induces a connected graph), then there exists a linear algorithm which either finds a 3-coloring of G, or indicates that such coloring does not exist. © Springer-Verlag Berlin Heidelberg 2003.
CITATION STYLE
Kochol, M. (2003). Linear algorithm for 3-coloring of locally connected graphs. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2647, 191–194. https://doi.org/10.1007/3-540-44867-5_15
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