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Abstract 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… Click to show full abstract
Abstract 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:
eccentric harmonic;
index;
index graph;
harmonic index
Journal Title: Arab Journal of Basic and Applied Sciences
Year Published: 2019
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Journal Title: Arab Journal of Basic and Applied Sciences
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!