March 28, 2024
Reza Sharafdini

Reza Sharafdini

Academic Rank: Associate professor
Address:
Degree: Ph.D in Mathematics - Algebra
Phone: 77-31222750
Faculty: Faculty of Intelligent Systems and Data Science

Research

Title EXTREMAL CHEMICAL TREES WITH RESPECT TO HYPER-ZAGREB INDEX
Type Article
Keywords
Journal JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS
DOI
Researchers Reza Sharafdini (Third researcher) ,

Abstract

Suppose $G$ is a molecular graph with edge set $E(G)$, the Hyper-Zagreb index of $G$ is defined as $\displaystyle HM(G)=\sum_{uv\in E(G)}[deg_{G}(u) deg_{G}(v)]^2$, where $deg_G(u)$ is the degree of a vertex $u$ in $G$. In this paper, we characterize the chemical trees of order $n\ge 12$ with the first twenty smallest Hyper Zagreb index.