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Cycles in graphs of fixed girth with large size

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arxiv 1603.03526 v1 pith:JT57Q4RY submitted 2016-03-11 math.CO

classification math.CO
keywords graphscyclesfixedgirthlargesizeasymptoticbound
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Consider a family of graphs having a fixed girth and a large size. We give an optimal lower asymptotic bound on the number of even cycles of any constant length, as the order of the graphs tends to infinity.

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