On the possible values of the entropy of undirected graphs
Information Theory
2015-12-07 v1 Discrete Mathematics
Combinatorics
math.IT
Abstract
The entropy of a digraph is a fundamental measure which relates network coding, information theory, and fixed points of finite dynamical systems. In this paper, we focus on the entropy of undirected graphs. We prove that for any integer the number of possible values of the entropy of an undirected graph up to is finite. We also determine all the possible values for the entropy of an undirected graph up to the value of four.
Keywords
Cite
@article{arxiv.1512.01348,
title = {On the possible values of the entropy of undirected graphs},
author = {Maximilien Gadouleau},
journal= {arXiv preprint arXiv:1512.01348},
year = {2015}
}