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基于距离的拓扑多项式与友谊图的指标

Distance-based topological polynomials and indices of friendship graphs.

作者信息

Gao Wei, Farahani Mohammad Reza, Imran Muhammad, Rajesh Kanna M R

机构信息

School of Information Science and Technology, Yunnan Normal University, Kunming, 650500 China.

Department of Applied Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16844 Iran.

出版信息

Springerplus. 2016 Sep 15;5(1):1563. doi: 10.1186/s40064-016-3271-5. eCollection 2016.

Abstract

Drugs and chemical compounds are often modeled as graphs in which the each vertex of the graph expresses an atom of molecule and covalent bounds between atoms are represented by the edges between their corresponding vertices. The topological indicators defined over this molecular graph have been shown to be strongly correlated to various chemical properties of the compounds. In this article, by means of graph structure analysis, we determine several distance based topological indices of friendship graph [Formula: see text] which is widely appeared in various classes of new nanomaterials, drugs and chemical compounds.

摘要

药物和化合物通常被建模为图,其中图的每个顶点表示分子的一个原子,原子之间的共价键由其相应顶点之间的边表示。已表明在该分子图上定义的拓扑指标与化合物的各种化学性质密切相关。在本文中,通过图结构分析,我们确定了友谊图[公式:见正文]的几个基于距离的拓扑指标,该图广泛出现在各类新型纳米材料、药物和化合物中。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/10b0/5023656/b9f96f5b15bb/40064_2016_3271_Fig1_HTML.jpg

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