Year: 2014
Type: preprint
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 $0 \le ρ\le 1$, 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.
Source: arXiv (Cornell University)
Author: Feige, Uriel
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1593392471