Vertex Szeged indices of P2n

被引：4

作者：

Cancan, Murat ^{[1
]}

Naeem, Muhammad ^{[2
]}

Baig, Abdul Qudair ^{[2
]}

Gao, Wei ^{[3
]}

Aslam, Aneela ^{[4
]}

机构：

[1] Van Yuzuncu Yil Univ, Fac Educ, TR-65090 Van, Turkey

[2] Inst Southern Punjab, Dept Math & Stat, Multan 32100, Punjab, Pakistan

[3] Yunnan Normal Univ, Sch Informat Sci & Technolo, Kunming, Yunnan, Peoples R China

[4] Univ Lahore, Dept Math, Lahore 54770, Pakistan

来源：

JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES | 2020年 / 41卷 / 04期

关键词：

Vertex Szeged (Sz) index; Padmarkar-Ivan PIv index; Graph operations; Subdivision of graph; Total graph; TOPOLOGICAL INDEXES; PI INDEX; GRAPHS;

D O I：

10.1080/02522667.2020.1745381

中图分类号：

G25 [图书馆学、图书馆事业]; G35 [情报学、情报工作];

学科分类号：

1205 ; 120501 ;

摘要：

Let G=(V,E) be a simple connected graph, where V(G) and E(G) represent the vertex set and edge set of G respectively. For a graph the vertex Szeged index is equal to the product over all edges uv of G of the number of vertices which are not equidistant to vertices u and v. The vertex Padmarker-Ivan (PIv) index of a graph is the sum over all edges uv of G of the number of vertices which are not equidistant to vertices u and v. The aim of this paper is to compute and compare the vertex Szeged index and vertex Padmarker-Ivan (PIv) index of P2n+F Pn+1, where P2n+F Pn+1 represents four operation on P(2n)xP(n+1).

引用

页码：991 / 1006

页数：16

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