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A Bound on the Number of Edges in Graphs Without an Even Cycle
Published online by Cambridge University Press: 07 April 2016
Abstract
We show that, for each fixed k, an n-vertex graph not containing a cycle of length 2k has at most $80\sqrt{k\log k}\cdot n^{1+1/k}+O(n)$ edges.
MSC classification
Primary:
05C35: Extremal problems
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