The eccentric harmonic index of trees
AKCE International Journal of Graphs and Combinatorics, ISSN: 0972-8600, Vol: 21, Issue: 1, Page: 97-101
2024
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Article Description
Topological indices play an important role in mathematical chemistry, particularly in studies of quantitative structure property and quantitative structure activity relationships. The eccentric harmonic index of G is defined as (Formula presented.) where uv is an edge of G, e(u) is the eccentricity of the vertex u in G. In this paper, we will determine the maximum and minmum eccentric harmonic index of trees in terms of graph parameters such as pendant number and matching number, and characterize corresponding extremal graphs.
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