The edge-Wiener index of zigzag nanotubes

Wang, Guangfu; Liu, Yajing

doi:10.1016/j.amc.2020.125191

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“…e invariants of the graph and its topological indices have important significance in studying the properties of chemical molecular graphs and network graphs [1][2][3][4]. e Wiener index, for example, is defined as the sum of the distances of all disordered vertex pairs, and it can be used to estimate the boiling point of the alkanes [5,6].…”

Section: Introductionmentioning

confidence: 99%

On Subtree Number Index of Generalized Book Graphs, Fan Graphs, and Wheel Graphs

Sun

Zhao

et al. 2021

Journal of Mathematics

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With generating function and structural analysis, this paper presents the subtree generating functions and the subtree number index of generalized book graphs, generalized fan graphs, and generalized wheel graphs, respectively. As an application, this paper also briefly studies the subtree number index and the asymptotic properties of the subtree densities in regular book graphs, regular fan graphs, and regular wheel graphs. The results provide the basis for studying novel structural properties of the graphs generated by generalized book graphs, fan graphs, and wheel graphs from the perspective of the subtree number index.

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