Journal Article

·2024 OPEN ACCESS

Computation of wiener polynomial and index of line subdivision friendship and line subdivision bifriendship graphs using matlab program

Mahmoud A. Al-Rumaima , Abdu Alameri , Mohammed Alsharafi YTU , Walid A.M. Saeed , Hanan Amed , Ammar Alsina , Anwar Alwardi

Proyecciones (Antofagasta)

Abstract

A topological index is a branch of chemical graph theory that is vital to analyzing the physio-chemical characteristics of chemical compound structures divided into a degree-based molecular structure such as Zagreb indices, a distance-based molecular structure such as Wiener index, and a mixed such as Gutman index. In this paper, some definitions, results, and examples of Wiener polynomial and index for subdivision graph of friendship, bifriendship graphs, line subdivision graph of friendship, and bifriendship graphs were introduced. Moreover, we used the MATLAB program to calculate the Wiener polynomial and index of these graphs and refer to some applications.

Keywords

Subdivision Index (typography) MATLAB Line (geometry) Friendship Polynomial Computation Mathematics Computer science Discrete mathematics Algorithm Psychology Mathematical analysis Geography Geometry World Wide Web Programming language Social psychology

Subject Areas

Manufacturing Process and Optimization ·Industrial and Manufacturing Engineering ·Physical Sciences
Advanced Numerical Analysis Techniques ·Computational Mechanics ·Physical Sciences
Real-time simulation and control systems ·Control and Systems Engineering ·Physical Sciences