Weighted entropy of Zig-Zag chain

Afzal F., Razaq S., Razaq M. A., Cancan M., Aldemir M. Ş.

EURASIAN CHEMICAL COMMUNICATIONS, vol.2, no.10, pp.1082-1087, 2020 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2 Issue: 10
  • Publication Date: 2020
  • Doi Number: 10.22034/ecc.2020.251916.1080
  • Journal Name: EURASIAN CHEMICAL COMMUNICATIONS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.1082-1087
  • Keywords: Topological indices, weighted entropy, Zig-Zag chain of 8-cycles, ECCENTRIC CONNECTIVITY INDEXES
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

The entropy of a graph is a functional depending both on the graph itself and on a probability distribution on its vertex set. This graph functional originated from the problem of source coding in information theory and was introduced by J. Krner in 1973. Although the notion of graph entropy has its roots in information theory, it was proved to be closely related to some classical and frequently studied graph theoretic concepts. In this article, we obtained the graph entropy with Randic, geometric-arithmetic, harmonic, first Zagreb, second Zagreb, atom bond connectivity, sum connectivity index and augmented Zagreb indices for Zig-Zag chain of 8-cycles molecular graph.