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.
Highlights
Graph theory's diverse applications in natural science (Chemistry, Biology), especially it is becoming an important component of the mathematical chemistry sciences
A lot of graphical invariants have been used for obtaining correlations of chemical structures with various chemical reactivity, physical properties, or biological activity [1]
There is a large family of distance or degree based topological indices of graphs in chemical graph theory
Summary
Graph theory's diverse applications in natural science (Chemistry, Biology), especially it is becoming an important component of the mathematical chemistry sciences. M. Ökten Turacı / The Values of Eccentricity-Based Topological Indices of Diamond Graphs εG u = maxv∈V G dG (u, v) [6]. The eccentric connectivity index is denoted by ξc (G) for the any graph G , is defined as follows: ξc G =
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