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Improper colorability of planar graphs without prescribed short cycles

✍ Scribed by Wang, Yingqian; Xu, Jinghan


Book ID
122236325
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
480 KB
Volume
322
Category
Article
ISSN
0012-365X

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Planar graph colorings without short mon
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## Abstract It is well known that every planar graph __G__ is 2‐colorable in such a way that no 3‐cycle of __G__ is monochromatic. In this paper, we prove that __G__ has a 2‐coloring such that no cycle of length 3 or 4 is monochromatic. The complete graph __K__~5~ does not admit such a coloring. On