关于鲁棒非对称图

摘要：

O'Donnell，Wright，Wu和Zhou [SODA 2014]引入了鲁棒非对称图的概念。粗略地说，这些图是这样的图，其中对于每个$0 \le ρ\le 1$，置换顶点的$ρ$分数的每个置换将边缘的$Θ(ρ)$分数映射到非边缘。我们发现，有图的常数隐藏在$Θ$符号大致为1。

英文摘要：

O'Donnell, Wright, Wu and Zhou [SODA 2014] introduced the notion of robustly asymmetric graphs. Roughly speaking, these are graphs in which for every $0 \le ρ\le 1$, every permutation that permutes a $ρ$ fraction of the vertices maps a $Θ(ρ)$ fraction of the edges to non-edges. We show that there are graphs for which the constant hidden in the $Θ$ notation is roughly~1.

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