Evidence map›Paper›PMID 40764300›Full record

ArticleScientific reports2025

Linear model based on neighborhood ABS index for graph energy in benzenoid hydrocarbons and maximum index cactus graphs.

Zheng-Qing Chu, Mohammed Yasin H, M Suresh, Micheal Arockiaraj

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Article in Scientific reports, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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4 authors.

Zheng-Qing ChuGeneral Education Department, Anhui Xinhua University, Hefei, People's Republic of China.
Mohammed Yasin HDepartment of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Chengalpattu, 603203, India. hmdyasin761@gmail.com.
M SureshDepartment of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Chengalpattu, 603203, India.
Micheal ArockiarajDepartment of Mathematics, Loyola College, Chennai, 600034, India. marockiaraj@gmail.com.

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6 · The paper itself

Abstract

The atom-bond-sum (ABS) connectivity index, developed by integrating the degree information from the atom-bond and sum connectivity indices, has attracted significant attention for its effectiveness in correlating thermodynamic properties of chemical structures. We study the ABS index by capturing the neighborhood degree information of atoms and its relationship to the π-electron energy in a dataset of alternant benzenoid hydrocarbons, revealing a strong correlation of 0.999. Moreover, graphs with the maximum index generally correspond to molecules with high stability or desired reactivity. Therefore, we aim to identify and describe the unique cactus graph that achieves the maximum neighborhood ABS index for a fixed number of cycles and pendent vertices, providing insights into structural features and highlighting the significance of the neighborhood ABS index in molecular chemistry.

Indexed as

Atom-bond connectivity indexCactus graphsGraph energySum connectivity index

Identifiers

PMID40764300
PMCPMC12325711

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