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A fast parallel coloring of planar graphs with five colors

โœ Scribed by Joseph Naor


Book ID
113163017
Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
251 KB
Volume
25
Category
Article
ISSN
0020-0190

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## Abstract We prove that for any planar graph __G__ with maximum degree ฮ”, it holds that the chromatic number of the square of __G__ satisfies ฯ‡(__G__^2^)โ€‰โ‰คโ€‰2ฮ”โ€‰+โ€‰25. We generalize this result to integer labelings of planar graphs involving constraints on distances one and two in the graph. ยฉ 2002