论文标题

最大$ C_ {2K+1} $的稳定定理 - 免费图

A Stability Theorem for Maximal $C_{2k+1}$-free Graphs

论文作者

Wang, Jian, Wang, Shipeng, Yang, Weihua, Yuan, Xiaoli

论文摘要

对于任何正整数$ k $,我们表明每个最大$ c_ {2k+1} $ - 至少$ n^2/4-o(n^{3/2})$ edges包含一个诱导的完整的二颗粒子图$(1-o(1-o(1-o(1-o(1-o(1)))N $ Vertices。我们还表明这是最好的。

For any positive integer $k$, we show that every maximal $C_{2k+1}$-free graph with at least $n^2/4-o(n^{3/2})$ edges contains an induced complete bipartite subgraph on $(1-o(1))n$ vertices. We also show that this is best possible.

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