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arXiv · 1402.1047

On robustly asymmetric graphs

Uriel Feige
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Abstract

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

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Uriel Feige. 2014-02-05. On robustly asymmetric graphs. https://arxiv.org/abs/1402.1047

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