SOME ZAGREB-TYPE INDICES OF VICSEK POLYGON GRAPHS

Fractals Pub Date : 2024-04-05 DOI:10.1142/s0218348x24500658
ZHIQIANG WU, YUMEI XUE, HUIXIA HE, CHENG ZENG, WENJIE WANG
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Abstract

Chemical graph theory plays an essential role in modeling and designing any chemical structure or chemical network. For a (molecular) graph, the Zagreb indices and the Zagreb eccentricity indices are well-known topological indices to describe the structure of a molecule or graph and can be used to predict properties such as the size and number of rings in a molecule, as well as the thermodynamic stability and reactivity of compounds. In this paper, we introduce a class of molecular models, namely, the Vicsek polygon graphs, which extend the traditional Vicsek networks. We compute the Zagreb indices and the Zagreb eccentricity indices of Vicsek polygon graphs by self-similarity and the recurrence relation based on the construction of graphs.

维克塞克多边形图的一些萨格勒布型指数
化学图论在任何化学结构或化学网络的建模和设计中都起着至关重要的作用。对于(分子)图而言,萨格勒布指数和萨格勒布偏心指数是描述分子或图结构的著名拓扑指数,可用于预测分子中环的大小和数量等性质,以及化合物的热力学稳定性和反应性。本文介绍了一类分子模型,即 Vicsek 多边形图,它扩展了传统的 Vicsek 网络。我们通过自相似性和基于图形构造的递推关系来计算 Vicsek 多边形图的萨格勒布指数和萨格勒布偏心指数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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