Degree exponent sum energy of commuting graph for dihedral groups
For a finite group G and a nonempty subset X of G, we construct a graph with a set of vertex X such that any pair of distinct vertices of X are adjacent if they are commuting elements in G. This graph is known as the commuting graph of G on X, denoted by ΓG [X]. The degree exponent sum (DES) matrix...
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University of Malaya
2022
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my.upm.eprints.1008832023-07-26T03:02:03Z http://psasir.upm.edu.my/id/eprint/100883/ Degree exponent sum energy of commuting graph for dihedral groups Romdhin, Mamika Ujianita Nawawi, Athirah Chen, Chuei Yee For a finite group G and a nonempty subset X of G, we construct a graph with a set of vertex X such that any pair of distinct vertices of X are adjacent if they are commuting elements in G. This graph is known as the commuting graph of G on X, denoted by ΓG [X]. The degree exponent sum (DES) matrix of a graph is a square matrix whose (p,q)-th entry is is dvp dvq + dvqdvp whenever p is different from q, otherwise, it is zero, where dvp (or dvq ) is the degree of the vertex vp (or vertex, vq) of a graph. This study presents results for the DES energy of commuting graph for dihedral groups of order 2n, using the absolute eigenvalues of its DES matrix. University of Malaya 2022-09 Article PeerReviewed Romdhin, Mamika Ujianita and Nawawi, Athirah and Chen, Chuei Yee (2022) Degree exponent sum energy of commuting graph for dihedral groups. Malaysian Journal of Science, 41 (spec. 1). 40 - 46. ISSN 1394-3065 https://mjs.um.edu.my/index.php/MJS/article/view/34832 10.22452/mjs.sp2022no1.6 |
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For a finite group G and a nonempty subset X of G, we construct a graph with a set of vertex X such that any pair of distinct vertices of X are adjacent if they are commuting elements in G. This graph is known as the commuting graph of G on X, denoted by ΓG [X]. The degree exponent sum (DES) matrix of a graph is a square matrix whose (p,q)-th entry is is dvp dvq + dvqdvp whenever p is different from q, otherwise, it is zero, where dvp (or dvq ) is the degree of the vertex vp (or vertex, vq) of a graph. This study presents results for the DES energy of commuting graph for dihedral groups of order 2n, using the absolute eigenvalues of its DES matrix. |
| format |
Article |
| author |
Romdhin, Mamika Ujianita Nawawi, Athirah Chen, Chuei Yee |
| spellingShingle |
Romdhin, Mamika Ujianita Nawawi, Athirah Chen, Chuei Yee Degree exponent sum energy of commuting graph for dihedral groups |
| author_facet |
Romdhin, Mamika Ujianita Nawawi, Athirah Chen, Chuei Yee |
| author_sort |
Romdhin, Mamika Ujianita |
| title |
Degree exponent sum energy of commuting graph for dihedral groups |
| title_short |
Degree exponent sum energy of commuting graph for dihedral groups |
| title_full |
Degree exponent sum energy of commuting graph for dihedral groups |
| title_fullStr |
Degree exponent sum energy of commuting graph for dihedral groups |
| title_full_unstemmed |
Degree exponent sum energy of commuting graph for dihedral groups |
| title_sort |
degree exponent sum energy of commuting graph for dihedral groups |
| publisher |
University of Malaya |
| publishDate |
2022 |
| url |
http://psasir.upm.edu.my/id/eprint/100883/ https://mjs.um.edu.my/index.php/MJS/article/view/34832 |
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