Information Inequalities via Submodularity and a Problem in Extremal Graph Theory

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number597
Issue number5
StatePublished - May 2022


  • Han’s inequality
  • Shearer’s lemma
  • extremal combinatorics
  • graphs
  • information inequalities
  • polymatroid
  • rank function
  • set function
  • submodularity

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Mathematical Physics
  • Physics and Astronomy (miscellaneous)
  • Electrical and Electronic Engineering


Dive into the research topics of 'Information Inequalities via Submodularity and a Problem in Extremal Graph Theory'. Together they form a unique fingerprint.

Cite this