Eccentric harmonic index of a graph. Issue 1 (2nd January 2019)

• Record Type: Journal Article
• Authors: Sowaity, M. I.; Pavithra, M.; Sharada, B.; Naji, A. M.
• Is Part Of: Arab journal of basic and applied sciences. Volume 26:Issue 1(2019)
• Page Start: 497
• Page End: 501
• Publication Date: 2019-01-02
• Subjects: Eccentricity of a vertex -- harmonic index -- eccentric harmonic index; 05C76 -- 05C07 -- 92E10; Science -- Arab countries -- Periodicals; Science -- Periodicals; Science; Arab countries; Periodicals; Electronic journals; 500
• DOI: 10.1080/25765299.2019.1688914
• Languages: English
• ISSNs: 2576-5299

Abstract

Abstract: In this paper, we introduce the eccentric harmonic index H e = H e ( G ) of a graph G, so that it is the sum of the terms 2 e i + e j for the edges v i v j, where ei is the eccentricity of the i th 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 ξ c ( G ) are derived.