Information Inequalities via Submodularity and a Problem in Extremal Graph Theory.
Entropy (Basel)
; 24(5)2022 Apr 25.
Article
em En
| MEDLINE
| ID: mdl-35626483
ABSTRACT
The present paper offers, in its first part, a unified approach for the derivation of families of inequalities for set functions which satisfy sub/supermodularity properties. It applies this approach for the derivation of information inequalities with Shannon information measures. Connections of the considered approach to a generalized version of Shearer's lemma, and other related results in the literature are considered. Some of the derived information inequalities are new, and also known results (such as a generalized version of Han's inequality) are reproduced in a simple and unified way. In its second part, this paper applies the generalized Han's inequality to analyze a problem in extremal graph theory. This problem is motivated and analyzed from the perspective of information theory, and the analysis leads to generalized and refined bounds. The two parts of this paper are meant to be independently accessible to the reader.
Texto completo:
1
Coleções:
01-internacional
Contexto em Saúde:
1_ASSA2030
Base de dados:
MEDLINE
Aspecto:
Determinantes_sociais_saude
/
Equity_inequality
Idioma:
En
Revista:
Entropy (Basel)
Ano de publicação:
2022
Tipo de documento:
Article