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A Lower Bound for the Sectional Genus of Quasi-Polarized Surfaces

โœ Scribed by Yoshiaki Fukuma


Book ID
110217498
Publisher
Springer
Year
1997
Tongue
English
Weight
172 KB
Volume
64
Category
Article
ISSN
0046-5755

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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