Effects on Seidel energy of two special types of graphs by perturbing edges
Let G be a simple undirected graph, and let S(G) be its Seidel matrix. The Seidel energy of G is defined as ES(G)=∑i=1n|λS(G)|, where λS(G),λS(G),…,λS(G) are Seidel eigenvalues of G. Recently, researchers have studied the effect of embedded edges on the distance energy of complete bipartite graphs....
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| Language: | English |
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Elsevier
2025-01-01
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| Series: | Kuwait Journal of Science |
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| Online Access: | https://www.sciencedirect.com/science/article/pii/S2307410824001366 |
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| description | Let G be a simple undirected graph, and let S(G) be its Seidel matrix. The Seidel energy of G is defined as ES(G)=∑i=1n|λS(G)|, where λS(G),λS(G),…,λS(G) are Seidel eigenvalues of G. Recently, researchers have studied the effect of embedded edges on the distance energy of complete bipartite graphs. In this paper, the effect of perturbed edges on the Seidel energy of complete bipartite graphs and complete split graphs is studied. Finally, these graphs are ordered according to their Seidal energies. © 2024 The Author(s) |
| format | Article |
| id | doaj-art-6d72ed7ff8f044eaa9ed691fe274f314 |
| institution | DOAJ |
| issn | 2307-4108 2307-4116 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Kuwait Journal of Science |
| spelling | doaj-art-6d72ed7ff8f044eaa9ed691fe274f3142025-08-20T03:16:11ZengElsevierKuwait Journal of Science2307-41082307-41162025-01-0152110031110.1016/j.kjs.2024.100311Effects on Seidel energy of two special types of graphs by perturbing edgesLet G be a simple undirected graph, and let S(G) be its Seidel matrix. The Seidel energy of G is defined as ES(G)=∑i=1n|λS(G)|, where λS(G),λS(G),…,λS(G) are Seidel eigenvalues of G. Recently, researchers have studied the effect of embedded edges on the distance energy of complete bipartite graphs. In this paper, the effect of perturbed edges on the Seidel energy of complete bipartite graphs and complete split graphs is studied. Finally, these graphs are ordered according to their Seidal energies. © 2024 The Author(s)https://www.sciencedirect.com/science/article/pii/S2307410824001366complete bipartite graphcomplete split graphperturbed edgeseidel energy |
| spellingShingle | Effects on Seidel energy of two special types of graphs by perturbing edges Kuwait Journal of Science complete bipartite graph complete split graph perturbed edge seidel energy |
| title | Effects on Seidel energy of two special types of graphs by perturbing edges |
| title_full | Effects on Seidel energy of two special types of graphs by perturbing edges |
| title_fullStr | Effects on Seidel energy of two special types of graphs by perturbing edges |
| title_full_unstemmed | Effects on Seidel energy of two special types of graphs by perturbing edges |
| title_short | Effects on Seidel energy of two special types of graphs by perturbing edges |
| title_sort | effects on seidel energy of two special types of graphs by perturbing edges |
| topic | complete bipartite graph complete split graph perturbed edge seidel energy |
| url | https://www.sciencedirect.com/science/article/pii/S2307410824001366 |