论文标题

抗拉姆西周期的阈值

Anti-Ramsey threshold of cycles

论文作者

Barros, Gabriel Ferreira, Cavalar, Bruno Pasqualotto, Mota, Guilherme Oliveira, Parczyk, Olaf

论文摘要

对于Graphs $ G $和$ H $,令$ G \ Overset {\ Mathrm {rb}} {\ LongrightArrow}扩展了Nenadov,Person,škorić和Steger的结果[J.组合。理论ser。 b 124(2017),1-38],我们确定$ g(n,p)\ overset {\ mathrm {rb}} {\ longrightArrow} c_ \ ell $ for Cycles $ c_ \ ell $ c_ \ ell $的阈值。

For graphs $G$ and $H$, let $G \overset{\mathrm{rb}}{\longrightarrow} H$ denote the property that for every proper edge colouring of $G$ there is a rainbow copy of $H$ in $G$. Extending a result of Nenadov, Person, Škorić and Steger [J. Combin. Theory Ser. B 124 (2017),1-38], we determine the threshold for $G(n,p) \overset{\mathrm{rb}}{\longrightarrow} C_\ell$ for cycles $C_\ell$ of any given length $\ell \geq 4$.

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