A note on graphs without short even cycles

Thomas Lam; Jacques Verstraete

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A note on graphs without short even cycles

Thomas Lam·Jacques Verstraete

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Abstract

We show that any n-vertex graph without even cycles of length at most 2k has at most 1/2(n^{1 + 1/k}) + O(n) edges, and polarity graphs of generalized polygons show that this is asymptotically tight when k = 2,3,5.

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Thomas Lam, Jacques Verstraete. 2005-03-28. A note on graphs without short even cycles. https://arxiv.org/abs/math/0503623

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