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The girth of a 4-homogeneous bipartite graph

โœ Scribed by Kaishun Wang


Book ID
111784668
Publisher
SP Science China Press
Year
2003
Tongue
English
Weight
106 KB
Volume
46
Category
Article
ISSN
1674-7283

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โœ Anna Galluccio; Luis A. Goddyn; Pavol Hell ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 166 KB

Let H be a fixed graph. We show that any H-minor free graph G of high enough girth has circular chromatic number arbitrarily close to two. Equivalently, each such graph G admits a homomorphism to a large odd circuit. In particular, graphs of high girth and of bounded genus, or of bounded tree width,