Alimon, N. I. and Sarmin, N. H. and Erfanian, A.
(2020)
*The Harary index of the non-commuting graph for dihedral groups.*
Southeast Asian Bulletin of Mathematics, 44
.
pp. 763-768.
ISSN 0129-2021

Full text not available from this repository.

## Abstract

Assume G is a non-abelian group which consists a set of vertices, V = {v1 , v2, ..., vn} and a set of edges, E = {e1, e2, ..., em} where n and m are the positive integers. The non-commuting graph of G, denoted by ΓG, is the graph of vertex set G−Z(G), whose vertices are non-central elements, in which Z(G) is the center of G and two distinct vertices are adjacent if and only if they do not commute. In addition, the Harary index of a graph ΓG is the half-sum of the elements in the reciprocal distance of Dij where Dij the distance between vertex i and vertex j. In this paper, the Harary index of the non-commuting graph for dihedral groups is determined and its general formula is developed.

Item Type: | Article |
---|---|

Uncontrolled Keywords: | Harary index, non-commuting graph, dihedral group |

Subjects: | Q Science > QA Mathematics |

Divisions: | Science |

ID Code: | 30491 |

Deposited By: | Yanti Mohd Shah |

Deposited On: | 28 May 2014 00:56 |

Last Modified: | 28 Feb 2022 13:26 |

Repository Staff Only: item control page