The Values of Eccentricity-Based Topological Indices of Diamond Graphs

Year 2018, Volume: 22 Issue: Special, 285 - 289, 05.10.2018

Mukaddes Ökten Turacı

Abstract

Graph theory has been studied different areas such as information, mathematics and chemistry sciences. Especially, it has been the most important mathematical tools for the study the analysis of chemistry. A topological index has been a numerical descriptor of the molecular structure derived from the corresponding molecular graph, also it has used vulnerability of chemical graphs. The vulnerability of a graph has been the reliability of the graph after the disruption of  some vertices or edges until breakdown. There are a lot of topological indices which have been defined. Furthermore, the diamond graphs have been defined recently. In this paper, exact formulas for the eccentricity-based topological indices of diamond graphs have been obtained.

Keywords

Graph theory, Vulnerability; Eccentricity; Topological indices; Diamond graphs

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