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

Daoqiang Sun | Zendy; Zhengying Zhao | Zendy; Xiaoxiao Li | Zendy; Jiayi Cao | Zendy; Yu Yang | Zendy

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

Author(s) -

Daoqiang Sun,

Zhengying Zhao,

Xiaoxiao Li,

Jiayi Cao,

Yu Yang

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/5511214

Subject(s) - chordal graph , mathematics , indifference graph , combinatorics , clique sum , maximal independent set , metric dimension , pathwidth , index (typography) , graph product , discrete mathematics , 1 planar graph , graph , computer science , line graph , world wide web

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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