Characterizing extremal digraphs for identifying codes and extremal cases of Bondy's theorem on induced subsets
Discrete Mathematics
2013-10-11 v3 Combinatorics
Abstract
An identifying code of a (di)graph is a dominating subset of the vertices of such that all distinct vertices of have distinct (in)neighbourhoods within . In this paper, we classify all finite digraphs which only admit their whole vertex set in any identifying code. We also classify all such infinite oriented graphs. Furthermore, by relating this concept to a well known theorem of A. Bondy on set systems we classify the extremal cases for this theorem.
Keywords
Cite
@article{arxiv.1010.2985,
title = {Characterizing extremal digraphs for identifying codes and extremal cases of Bondy's theorem on induced subsets},
author = {Florent Foucaud and Reza Naserasr and Aline Parreau},
journal= {arXiv preprint arXiv:1010.2985},
year = {2013}
}