2015/12/04 by Maximilien Gadouleau, Gadouleau, Maximilien
Computer Science · Mathematics · #Combinatorics (math.CO) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #cs.DM #cs.IT #math.CO #math.IT
paper · pdf · doi:10.48550/arxiv.1512.01348
arxiv created 2015/12/04 · arxiv updated 2015/12/07
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 k the number of possible values of the entropy of an undirected graph up to k is finite. We also determine all the possible values for the entropy of an undirected graph up to the value of four.