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The sharp lower bound for the volume of threefolds of general type with({chi({mathcal O}_X)=1})

✍ Scribed by Lei Zhu


Publisher
Springer-Verlag
Year
2008
Tongue
French
Weight
241 KB
Volume
261
Category
Article
ISSN
0025-5874

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## Abstract We show that every 1‐tough graph __G__ on __n__ β‰₯ 3 vertices with Οƒ~3~≧ __n__ has a cycle of length at least min{__n, n__ + (Οƒ~3~/3 ) βˆ’ Ξ± + 1}, where Οƒ~3~ denotes the minimum value of the degree sum of any 3 pairwise nonadjacent vertices and Ξ± the cardinality of a miximum independent se