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Counting odd cycles in locally dense graphs

✍ Scribed by Reiher, Christian


Book ID
122159656
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
204 KB
Volume
105
Category
Article
ISSN
0095-8956

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## Abstract It is shown that every 4‐chromatic graph on __n__ vertices contains an odd cycle of length less than $2\sqrt {n}\,+3$. This improves the previous bound given by Nilli [J Graph Theory 3 (1999), 145–147]. Β© 2001 John Wiley & Sons, Inc. J Graph Theory 37: 115–117, 2001

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