Lower bounds for the average genus
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Jianer Chen; Jonathan L. Gross; Robert G. Rieper
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Article
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1995
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John Wiley and Sons
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English
β 705 KB
Two lower bounds are obtained for the average genus of graphs. The average genus for a graph of maximum valence at most 3 is at least half its maximum genus, and the average genus for a 2-connected simplicial graph other than a cycle is at least 1/16 of its cycle rank.