Contraharmonic Index: Extremal Results for Unicyclic Graphs and Bounds for General Graphs

Abdulaziz Mutlaq Alotaibi and Akbar Ali

Journal of Mathematics, 2026, vol. 2026, 1-8

Abstract: Let G be a graph with edge set EG. The degree of a vertex w in G is denoted by dw. The contraharmonic index of G is defined as CHG=∑uv∈EGdu+dv−1du2+dv2. In this paper, we investigate several properties of the contraharmonic index, including extremal results for unicyclic graphs of a given order, as well as bounds and the effects of an edge removal in graphs.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6674947

DOI: 10.1155/jom/6674947

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