Degree square subtraction energy of non-commuting graph for dihedral groups
The non-commuting graph on a finite G, denoted by ΓG, with the set of non-central elements of G as the vertex set and two distinct vertices are adjacent whenever they do not commute in G. In this paper, we discuss the spectrum, spectral radius and degree square subtraction energy of ΓG for dihedral...
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Penerbit Universiti Kebangsaan Malaysia
2024
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my-ukm.journal.241292024-09-11T03:41:18Z http://journalarticle.ukm.my/24129/ Degree square subtraction energy of non-commuting graph for dihedral groups Romdhini, Mamika Ujianita Athirah Nawawi, Al-Sharqi, Faisal Alfian, Muhammad Rijal The non-commuting graph on a finite G, denoted by ΓG, with the set of non-central elements of G as the vertex set and two distinct vertices are adjacent whenever they do not commute in G. In this paper, we discuss the spectrum, spectral radius and degree square subtraction energy of ΓG for dihedral groups of order 2n, D2n , where n≥3. It is found that the obtained energy here is equal to twice its spectral radius and there is a relationship with the degree subtraction energy that was described in previous literature. Penerbit Universiti Kebangsaan Malaysia 2024 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/24129/1/SME%2015.pdf Romdhini, Mamika Ujianita and Athirah Nawawi, and Al-Sharqi, Faisal and Alfian, Muhammad Rijal (2024) Degree square subtraction energy of non-commuting graph for dihedral groups. Sains Malaysiana, 53 (6). pp. 1421-1426. ISSN 0126-6039 https://www.ukm.my/jsm/english_journals/vol53num6_2024/contentsVol53num6_2024.html |
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Asia |
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Malaysia |
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| language |
English |
| description |
The non-commuting graph on a finite G, denoted by ΓG, with the set of non-central elements of G as the vertex set and two distinct vertices are adjacent whenever they do not commute in G. In this paper, we discuss the spectrum, spectral radius and degree square subtraction energy of ΓG for dihedral groups of order 2n, D2n , where n≥3. It is found that the obtained energy here is equal to twice its spectral radius and there is a relationship with the degree subtraction energy that was described in previous literature. |
| format |
Article |
| author |
Romdhini, Mamika Ujianita Athirah Nawawi, Al-Sharqi, Faisal Alfian, Muhammad Rijal |
| spellingShingle |
Romdhini, Mamika Ujianita Athirah Nawawi, Al-Sharqi, Faisal Alfian, Muhammad Rijal Degree square subtraction energy of non-commuting graph for dihedral groups |
| author_facet |
Romdhini, Mamika Ujianita Athirah Nawawi, Al-Sharqi, Faisal Alfian, Muhammad Rijal |
| author_sort |
Romdhini, Mamika Ujianita |
| title |
Degree square subtraction energy of non-commuting graph for dihedral groups |
| title_short |
Degree square subtraction energy of non-commuting graph for dihedral groups |
| title_full |
Degree square subtraction energy of non-commuting graph for dihedral groups |
| title_fullStr |
Degree square subtraction energy of non-commuting graph for dihedral groups |
| title_full_unstemmed |
Degree square subtraction energy of non-commuting graph for dihedral groups |
| title_sort |
degree square subtraction energy of non-commuting graph for dihedral groups |
| publisher |
Penerbit Universiti Kebangsaan Malaysia |
| publishDate |
2024 |
| url |
http://journalarticle.ukm.my/24129/1/SME%2015.pdf http://journalarticle.ukm.my/24129/ https://www.ukm.my/jsm/english_journals/vol53num6_2024/contentsVol53num6_2024.html |
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1811683409148248064 |
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13.251813 |