论文标题

$ k_r $的子图密度 - free Graphs

Subgraph densities in $K_r$-free graphs

论文作者

Grzesik, Andrzej, Győri, Ervin, Salia, Nika, Tompkins, Casey

论文摘要

在本文中,我们反驳了Lidický和Murphy的猜想,内容涉及$ K_R $ - Free图中给定图的副本数量,并给出了另一种一般猜想。我们还证明,在无三角形图中,最多2美元的$ 2 $的任何两分图的副本数量均不限制。

In this paper we disprove a conjecture of Lidický and Murphy about the number of copies of a given graph in a $K_r$-free graph and give an alternative general conjecture. We also prove an asymptotically tight bound on the number of copies of any bipartite graph of radius at most $2$ in a triangle-free graph.

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