The distance seidel spectrum of some graph operations
The distance matrix, distance eigenvalue, and distance energy of a connected graph have been studied in detail in literature where as the study on distance seidel matrix associated with a connected graph is in progress. The eigenvalues ∂1S≥∂2S≥ ... ≥∂nS of the distance seidel matrix DS(G) of a graph...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2024-06-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_3033_bf90acc4c3fa38abcada7d2079b8a53a.pdf |
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| author | Deena Scaria Indulal Gopal |
| author_facet | Deena Scaria Indulal Gopal |
| author_sort | Deena Scaria |
| collection | DOAJ |
| description | The distance matrix, distance eigenvalue, and distance energy of a connected graph have been studied in detail in literature where as the study on distance seidel matrix associated with a connected graph is in progress. The eigenvalues ∂1S≥∂2S≥ ... ≥∂nS of the distance seidel matrix DS(G) of a graph G forms the distance seidel spectrum of G. We describe here the distance seidel spectrum of some types of subdivision related graphs of a regular graph in terms of its adjacency spectrum. We also derive analytic expressions for the distance seidel energy of G(Cp), the partial complement of thesubdivision graph of a cycle Cp and the distance seidel energy of S(Cp), the complement of the even cycle C2p. |
| format | Article |
| id | doaj-art-04e5e3e3bf1a43d0938ee67e78d95757 |
| institution | Kabale University |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-04e5e3e3bf1a43d0938ee67e78d957572025-08-20T03:50:06ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662024-06-01131153210.22098/jhs.2024.14425.10043033The distance seidel spectrum of some graph operationsDeena Scaria0Indulal Gopal1Department of Mathematics, St Aloysius College, Edathua, 689573, IndiaDepartment of Mathematics, St Aloysius College, Edathua, 689573, IndiaThe distance matrix, distance eigenvalue, and distance energy of a connected graph have been studied in detail in literature where as the study on distance seidel matrix associated with a connected graph is in progress. The eigenvalues ∂1S≥∂2S≥ ... ≥∂nS of the distance seidel matrix DS(G) of a graph G forms the distance seidel spectrum of G. We describe here the distance seidel spectrum of some types of subdivision related graphs of a regular graph in terms of its adjacency spectrum. We also derive analytic expressions for the distance seidel energy of G(Cp), the partial complement of thesubdivision graph of a cycle Cp and the distance seidel energy of S(Cp), the complement of the even cycle C2p.https://jhs.uma.ac.ir/article_3033_bf90acc4c3fa38abcada7d2079b8a53a.pdfdistance seidel matrixdistance seidel spectrumdistance seidel energy |
| spellingShingle | Deena Scaria Indulal Gopal The distance seidel spectrum of some graph operations Journal of Hyperstructures distance seidel matrix distance seidel spectrum distance seidel energy |
| title | The distance seidel spectrum of some graph operations |
| title_full | The distance seidel spectrum of some graph operations |
| title_fullStr | The distance seidel spectrum of some graph operations |
| title_full_unstemmed | The distance seidel spectrum of some graph operations |
| title_short | The distance seidel spectrum of some graph operations |
| title_sort | distance seidel spectrum of some graph operations |
| topic | distance seidel matrix distance seidel spectrum distance seidel energy |
| url | https://jhs.uma.ac.ir/article_3033_bf90acc4c3fa38abcada7d2079b8a53a.pdf |
| work_keys_str_mv | AT deenascaria thedistanceseidelspectrumofsomegraphoperations AT indulalgopal thedistanceseidelspectrumofsomegraphoperations AT deenascaria distanceseidelspectrumofsomegraphoperations AT indulalgopal distanceseidelspectrumofsomegraphoperations |