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Binding Number, Minimum Degree, and Cycle Structure in Graphs

✍ Scribed by D. Bauer; E. Schmeichel


Book ID
112121103
Publisher
John Wiley and Sons
Year
2012
Tongue
English
Weight
504 KB
Volume
71
Category
Article
ISSN
0364-9024

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## Abstract Our main result is the following theorem. Let __k__ β‰₯ 2 be an integer, __G__ be a graph of sufficiently large order __n__, and __Ξ΄__(__G__) β‰₯ __n__/__k__. Then: __G__ contains a cycle of length __t__ for every even integer __t__β€‰βˆˆβ€‰[4, __Ξ΄__(__G__) + 1]. If __G__ is nonbipartite then

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