Eccentric harmonic index of a graph
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 a...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
Taylor & Francis Group
2019-01-01
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Series: | Arab Journal of Basic and Applied Sciences |
Subjects: | |
Online Access: | http://dx.doi.org/10.1080/25765299.2019.1688914 |
Summary: | 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. |
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ISSN: | 2576-5299 |