The topological indices of non-commuting graph of a finite group
Assume G is a non-abelian finite group. The non-commuting graph GG of G is defined as a graph with vertex set G - Z(G) in which Z(G) is the center of G and two distinct vertices x and y are joined if and only if xy ? yx. Various topological indices have been determined for simple and connected graph...
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| Main Authors: | , , |
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| Format: | Article |
| Published: |
Academic Press
2015
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/59000/ http://dx.doi.org/10.12732/ijpam.v105i1.4 |
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| Institution: | Universiti Teknologi Malaysia |
| Summary: | Assume G is a non-abelian finite group. The non-commuting graph GG of G is defined as a graph with vertex set G - Z(G) in which Z(G) is the center of G and two distinct vertices x and y are joined if and only if xy ? yx. Various topological indices have been determined for simple and connected graphs. Since non-commuting graph is a simple and connected graph, topological indices could be defined for it. The main objective of this article is to calculate various topological indices including the Szeged index, Edge-Wiener index, the first Zagreb index and the second Zagreb index for the non-commuting graph of G. |
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