Certain types of minimum covering Estrada index of graphs


Shooshtari H., Atapour M., Cancan M.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, vol.16, no.05, 2023 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 05
  • Publication Date: 2023
  • Doi Number: 10.1142/s1793557123500821
  • Journal Name: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Keywords: Eigenvalue of graphs, minimum covering, distance Estrada index, Randic Estrada index, Harary Estrada index, Seidel Estrada index, color Estrada index
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

Let G be a simple, finite, undirected graph with n vertices. The main purpose of this paper introduces the concepts of the minimum covering Gutman Estrada index, the minimum covering Seidel Estrada index, the minimum covering distance Estrada index, the minimum covering Randic Estrada index, the minimum covering Harary Estrada index, and the minimum covering color Estrada index of a graph. First, we compute the new concepts for some of the graphs, such as cocktail party, star, crown, complete and complete bipartite. Moreover, we establish upper and lower bounds for the new concepts.