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arxiv: 1603.03526 · v1 · pith:JT57Q4RYnew · submitted 2016-03-11 · 🧮 math.CO

Cycles in graphs of fixed girth with large size

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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