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The szeged and wiener indices for coprime graph of dihedral groups

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 ha...

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Main Authors: Alimon, N. I., Sarmin, N. H., Erfanian, A.
Format: Conference or Workshop Item
Published: 2020
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/93736/
http://dx.doi.org/10.1063/5.0018270
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spelling my.utm.937362021-12-31T08:44:34Z http://eprints.utm.my/id/eprint/93736/ The szeged and wiener indices for coprime graph of dihedral groups Alimon, N. I. Sarmin, N. H. Erfanian, A. QA Mathematics 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. 2020 Conference or Workshop Item PeerReviewed 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. http://dx.doi.org/10.1063/5.0018270
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Alimon, N. I.
Sarmin, N. H.
Erfanian, A.
The szeged and wiener indices for coprime graph of dihedral groups
description 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.
format Conference or Workshop Item
author Alimon, N. I.
Sarmin, N. H.
Erfanian, A.
author_facet Alimon, N. I.
Sarmin, N. H.
Erfanian, A.
author_sort Alimon, N. I.
title The szeged and wiener indices for coprime graph of dihedral groups
title_short The szeged and wiener indices for coprime graph of dihedral groups
title_full The szeged and wiener indices for coprime graph of dihedral groups
title_fullStr The szeged and wiener indices for coprime graph of dihedral groups
title_full_unstemmed The szeged and wiener indices for coprime graph of dihedral groups
title_sort szeged and wiener indices for coprime graph of dihedral groups
publishDate 2020
url http://eprints.utm.my/id/eprint/93736/
http://dx.doi.org/10.1063/5.0018270
_version_ 1720980117578055680
score 13.160551

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