On the Weiner and Harary Index of Splitting Graphs

被引：5

作者：

Campena, Francis Joseph H. ^{[1
]}

Egan, Ma Christine G. ^{[1
]}

Antalan, John Rafael M. ^{[1
,2
]}

机构：

[1] De La Salle Univ, Coll Sci, Math & Stat Dept, 2401 Taft Ave Malate, Manila, Philippines

[2] Cent Luzon State Univ, Coll Sci, Dept Math & Phys, Sci City Of Munoz 3120, Nueva Ecija, Philippines

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2022年 / 15卷 / 02期

关键词：

Wiener index; Harary Index; Splitting Graph; HYPER-WIENER INDEX; TOPOLOGICAL INDEXES; DESIGN;

D O I：

10.29020/nybg.ejpam.v15i2.4316

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study we define a graph operation on a finite simple graph G = (V, E) called the S-splitting graph of G where S is a non-empty subset of vertices of G. If S = V, then it is the splitting graph of G defined by E. Sampathkumar, and H.B. Walikar in the 1980's. This paper investigates the Wiener and Harary indices of the S-splitting graph of G for some families of graph.

引用

页码：602 / 619

页数：18

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