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与化学图相关的拓扑指数的连通4-圈图的极值性质。

Extremal properties of connected 4-cyclic graphs of a topological index related to chemical graphs.

作者信息

Rehman Riffat, Tariq Rahim M, Muzaffar Haseeb, Hussain Fawad

机构信息

Department of Mathematics, Abbottabad University of Science and Technology, Havelian, KPK, Pakistan.

出版信息

Sci Prog. 2024 Jul-Sep;107(3):368504241275374. doi: 10.1177/00368504241275374.

DOI:10.1177/00368504241275374
PMID:39161308
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11334254/
Abstract

Augmented Zagreb index (AZI) is an important vertex-degree-based topological index with many applications especially in chemistry. In this article, minimum value of is obtained and the corresponding extremal graph is characterized in the class of connected 4-cyclic graphs with seven or more vertices. These results can be used to characterize numerous chemical properties of chemical compounds having 4-cyclic structures.

摘要

增强型 Zagreb 指数（AZI）是一种重要的基于顶点度的拓扑指数，在许多领域尤其是化学领域有广泛应用。本文得到了其最小值，并在具有七个或更多顶点的连通 4 - 圈图类中刻画了相应的极值图。这些结果可用于刻画具有 4 - 圈结构的化合物的众多化学性质。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ea37/11334254/2f3eedec242f/10.1177_00368504241275374-fig7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ea37/11334254/b4cabaa64454/10.1177_00368504241275374-fig1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ea37/11334254/771da14e3e9f/10.1177_00368504241275374-fig2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ea37/11334254/bab733895c8d/10.1177_00368504241275374-fig3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ea37/11334254/290bc9da1405/10.1177_00368504241275374-fig4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ea37/11334254/be1f10bc0dc3/10.1177_00368504241275374-fig5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ea37/11334254/c9197eb8bd94/10.1177_00368504241275374-fig6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ea37/11334254/2f3eedec242f/10.1177_00368504241275374-fig7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ea37/11334254/b4cabaa64454/10.1177_00368504241275374-fig1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ea37/11334254/771da14e3e9f/10.1177_00368504241275374-fig2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ea37/11334254/bab733895c8d/10.1177_00368504241275374-fig3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ea37/11334254/290bc9da1405/10.1177_00368504241275374-fig4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ea37/11334254/be1f10bc0dc3/10.1177_00368504241275374-fig5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ea37/11334254/c9197eb8bd94/10.1177_00368504241275374-fig6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ea37/11334254/2f3eedec242f/10.1177_00368504241275374-fig7.jpg

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