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The szeged and wiener indices for coprime graph of dihedral groups

Alimon, N. I. and Sarmin, N. H. and Erfanian, A. (2020) The szeged and wiener indices for coprime graph of dihedral groups. In: 27th National Symposium on Mathematical Sciences, SKSM 2019, 26-27 Nov 2019, Bangi, Selangor.

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Official URL: http://dx.doi.org/10.1063/5.0018270

Abstract

The coprime graph is defined as a graph where two distinct vertices are adjacent if and only if the order of both vertices are coprime. The Szeged index is the summation of the products of the number of vertices which are lying closer to x than y and vice versa. Meanwhile, the Wiener index is the half-sum of the distances for all vertices of the graph. In this paper, the Szeged index and the Wiener index of the coprime graph for certain order of dihedral groups are computed. Then, the general form of the Szeged and Wiener indices of the coprime graph for the dihedral groups are determined.

Item Type:Conference or Workshop Item (Paper)
Uncontrolled Keywords:Szeged index, coprime graph
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:93736
Deposited By: Narimah Nawil
Deposited On:31 Dec 2021 08:44
Last Modified:31 Dec 2021 08:44

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