Maximum Value of the ABC Index of the Edge-Corona Graph of Two Graphs

Haiqin Liu and Yanling Shao

Journal of Mathematics, 2026, vol. 2026, 1-7

Abstract: This paper is concerned with the atom-bond connectivity index (ABC index), defined as ABCG=∑uv∈EGdu+dv−2/dudv, where EG is the edge set of G and du and dv are degrees of vertices u and v, respectively. G1□G2 denotes the edge-corona graph of G1 and G2. In this paper, we derive the main result: The ABC indices of G1□G2 attain maximum value if and only if both G1 and G2 are complete graphs.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2598478

DOI: 10.1155/jom/2598478

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