Information Inequalities via Submodularity and a Problem in Extremal Graph Theory

نتاج البحث: نشر في مجلةمقالةمراجعة النظراء

ملخص

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.

اللغة الأصليةالإنجليزيّة
رقم المقال597
دوريةEntropy
مستوى الصوت24
رقم الإصدار5
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - مايو 2022

All Science Journal Classification (ASJC) codes

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

بصمة

أدرس بدقة موضوعات البحث “Information Inequalities via Submodularity and a Problem in Extremal Graph Theory'. فهما يشكلان معًا بصمة فريدة.

قم بذكر هذا