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Maximum lower bound on embedding areas of general graphs

โœ Scribed by Koichi Wada; Kimio Kawaguchi; Hideyuki Fujishima


Book ID
112205900
Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
932 KB
Volume
20
Category
Article
ISSN
0882-1666

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A tight lower bound on the maximum genus
โœ Jianer Chen; Saroja P. Kanchi; Jonathan L. Gross ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 856 KB

It is proved that every connected simplicial graph with minimum valence at least three has maximum genus at least one-quarter of its cycle rank. This follows from the technical result that every 3-regular simplicial graph except K4 has a Xuong co-tree whose odd components have only one edge each. It