Publication details for Dr Maximilien GadouleauGadouleau, Maximilien (2018). On the possible values of the entropy of undirected graphs. Journal of Graph Theory 88(2): 302-311.
- Publication type: Journal Article
- ISSN/ISBN: 1097-0118
- DOI: 10.1002/jgt.22213
- Further publication details on publisher web site
Author(s) from Durham
The entropy of a digraph is a fundamental measure that relates network coding, information theory, and fixed points of finite dynamical systems. In this article, we focus on the entropy of undirected graphs. We prove any bounded interval only contains finitely many possible values of the entropy of an undirected graph. We also determine all the possible values for the entropy of an undirected graph up to the value of four.