The entropy of a graph is a functional depending both on the graph itself and on a probability distribution on its vertex set. This concept is at the core ...
Graphs that split entropies. DEFINITION 2. The graph G is weakly splitting if for at least one nowhere vanishing. PD P on its vertex set we have ...
It will be proved that for a bipartite graph G and an arbitrary probability distribution P on its vertex set the entropies of G and $\bar G$ add up to the ...
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Graphs that split entropies. Authors: J. Körner, K. MartonAuthors Info ... Index Terms. Graphs that split entropies. Computer systems organization.
Several connections between perfect graphs and the information theoretic functional graph entropy has been found in the last ten-fifteen years.
As a main application, in Section. 3 we shall prove the following characterization of perfect graphs: a graph is perfect iff it “splits graph entropy”. Graph ...
Hypergraph entropy is an information theoretic functional on a hypergraph with a probability distribution on its vertex set. It is sub-additive with respect ...
Hypergraph entropy is a sub-additive functional on hypergraphs. We characterize those uniform hypergraphs F for which the entropy of F and the entropy of ...
Oct 22, 2024 · Graphs that Split Entropies ... The entropy of a graph is a functional depending both on the graph itself and on a probability distribution on its ...