Arab Journal of Basic and Applied Sciences (Jan 2019)

Eccentric harmonic index of a graph

  • M. I. Sowaity,
  • M. Pavithra,
  • B. Sharada,
  • A. M. Naji

DOI
https://doi.org/10.1080/25765299.2019.1688914
Journal volume & issue
Vol. 26, no. 1
pp. 497 – 501

Abstract

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In this paper, we introduce the eccentric harmonic index of a graph G, so that it is the sum of the terms for the edges where ei is the eccentricity of the ith vertex of the graph G. We compute the exact values of He for some standard graphs. Bounds for He are established. Relationships between He and the eccentric connectivity index are derived.

Keywords