IRMA-International.org: Creator of Knowledge
Information Resources Management Association
Advancing the Concepts & Practices of Information Resources Management in Modern Organizations

The Hyper-Zagreb Index and Some Properties of Graphs

The Hyper-Zagreb Index and Some Properties of Graphs
View Sample PDF
Author(s): Rao Li (University of South Carolina Aiken, USA)
Copyright: 2020
Pages: 10
Source title: Handbook of Research on Advanced Applications of Graph Theory in Modern Society
Source Author(s)/Editor(s): Madhumangal Pal (Vidyasagar University, India), Sovan Samanta (Tamralipta Mahavidyalaya, India) and Anita Pal (National Institute of Technology Durgapur, India)
DOI: 10.4018/978-1-5225-9380-5.ch022

Purchase

View The Hyper-Zagreb Index and Some Properties of Graphs on the publisher's website for pricing and purchasing information.

Abstract

Let G=(V(G),E(G)) be a graph. The forgotten topological index of G, denoted F(G), is defined as ∑v∈V(G) (d(v))3. The second Zagreb index of G, denoted M2(G), is defined as ∑uv∈E(G) d(u)d(v). The hyper-Zagreb index of G, denoted HZ(G), is defined as F(G)+2M2 (G). The authors consider only finite undirected graphs without loops or multiple edges. Lots of theorems have been presented along with related results. Using the hyper-Zagreb index of the complement of a graph, they present sufficient conditions for some properties of the graph.

Related Content

Arunaben Prahladbhai Gurjar, Shitalben Bhagubhai Patel. © 2022. 30 pages.
Meghna Babubhai Patel, Jagruti N. Patel, Upasana M. Bhilota. © 2022. 10 pages.
Vo Ngoc Phu, Vo Thi Ngoc Tran. © 2022. 27 pages.
Steven Walczak. © 2022. 17 pages.
Priyanka P. Patel, Amit R. Thakkar. © 2022. 26 pages.
Vo Ngoc Phu, Vo Thi Ngoc Tran. © 2022. 34 pages.
Sarat Chandra Nayak, Subhranginee Das, Bijan Bihari Misra. © 2022. 20 pages.
Body Bottom