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偏心邻域 Zagreb 指标的计算分析及其意义。

Computational analysis for eccentric neighborhood Zagreb indices and their significance.

作者信息

Ahmed Hanan, Saleh Anwar, Ismail Rashad, M Ruby Salestina, Alameri Abdu

机构信息

Department of Mathematics, Yuvaraja's College, University of Mysore, Mysuru, India.

Department of Mathematics, Ibb University, Ibb, Yemen.

出版信息

Heliyon. 2023 Jul 11;9(7):e17998. doi: 10.1016/j.heliyon.2023.e17998. eCollection 2023 Jul.

DOI:10.1016/j.heliyon.2023.e17998
PMID:37519713
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10372232/
Abstract

In this paper, a novel eccentric neighborhood degree-based topological indices, termed eccentric neighborhood Zagreb indices, have been conceptualized and its discriminating power investigated with regard to the predictability of the boiling point of the chemical substances. The discriminating power of the eccentric neighborhood Zagreb indices was compared with that of Wiener and eccentric connectivity indices. Some explicit results for those new indices for some graphs and graph operations such as join, disjunction, composition, and symmetric difference.

摘要

在本文中,一种基于偏心邻域度的新型拓扑指数,即偏心邻域 Zagreb 指数,已被概念化,并针对化学物质沸点的可预测性研究了其区分能力。将偏心邻域 Zagreb 指数的区分能力与 Wiener 指数和偏心连接性指数的区分能力进行了比较。给出了这些新指数对于一些图和图运算(如联图、析取图、合成图和对称差)的一些明确结果。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9b5f/10372232/29422b6cc474/gr002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9b5f/10372232/942cef0df72d/gr001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9b5f/10372232/29422b6cc474/gr002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9b5f/10372232/942cef0df72d/gr001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/9b5f/10372232/29422b6cc474/gr002.jpg

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本文引用的文献

1
Structural determination of paraffin boiling points.石蜡沸点的结构测定
J Am Chem Soc. 1947 Jan;69(1):17-20. doi: 10.1021/ja01193a005.
2
[Topological research of Kováts indices for amines].[胺类化合物的科瓦茨指数拓扑研究]
Se Pu. 2001 Mar;19(2):124-7.