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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2015
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my.utm.590002017-04-19T00:14:43Z http://eprints.utm.my/id/eprint/59000/ The topological indices of non-commuting graph of a finite group Jahandideh, Maryam Sarmin, Nor Haniza Omer, Sanaa Mohamed Saleh QA Mathematics 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. Academic Press 2015 Article PeerReviewed Jahandideh, Maryam and Sarmin, Nor Haniza and Omer, Sanaa Mohamed Saleh (2015) The topological indices of non-commuting graph of a finite group. InterntioNl Journal Of Pure And Applied Mathematics, 105 (1). pp. 27-38. ISSN 1311-8080 http://dx.doi.org/10.12732/ijpam.v105i1.4 DOI:10.12732/ijpam.v105i1.4 |
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QA Mathematics Jahandideh, Maryam Sarmin, Nor Haniza Omer, Sanaa Mohamed Saleh The topological indices of non-commuting graph of a finite group |
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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. |
| format |
Article |
| author |
Jahandideh, Maryam Sarmin, Nor Haniza Omer, Sanaa Mohamed Saleh |
| author_facet |
Jahandideh, Maryam Sarmin, Nor Haniza Omer, Sanaa Mohamed Saleh |
| author_sort |
Jahandideh, Maryam |
| title |
The topological indices of non-commuting graph of a finite group |
| title_short |
The topological indices of non-commuting graph of a finite group |
| title_full |
The topological indices of non-commuting graph of a finite group |
| title_fullStr |
The topological indices of non-commuting graph of a finite group |
| title_full_unstemmed |
The topological indices of non-commuting graph of a finite group |
| title_sort |
topological indices of non-commuting graph of a finite group |
| publisher |
Academic Press |
| publishDate |
2015 |
| url |
http://eprints.utm.my/id/eprint/59000/ http://dx.doi.org/10.12732/ijpam.v105i1.4 |
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1643654445174620160 |