A note on the Seidel and Seidel Laplacian matrices
In this paper we investigate the spectrum of the Seidel and Seidel Laplacian matrix of a graph. We generalized the concept of Seidel Laplacian matrix which denoted by Seidel matrix and obtained some results related to them. This can be intuitively understood as a consequence of the relationship bet...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2022-12-01
|
| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/51593 |
| _version_ | 1797633588253949952 |
|---|---|
| author | Jalal Askari |
| author_facet | Jalal Askari |
| author_sort | Jalal Askari |
| collection | DOAJ |
| description |
In this paper we investigate the spectrum of the Seidel and Seidel Laplacian matrix of a graph. We generalized the concept of Seidel Laplacian matrix which denoted by Seidel matrix and obtained some results related to them. This can be intuitively understood as a consequence of the relationship between the Seidel and Seidel Laplacian matrix in the graph by Zagreb index. In closing, we mention some alternatives to and generalization of the Seidel and Seidel Laplacian matrices. Also, we obtain relation between Seidel and Seidel Laplacian energy, related to all graphs with order n.
|
| first_indexed | 2024-03-11T11:56:00Z |
| format | Article |
| id | doaj.art-9833165058324af8a09e3aa928fe30a7 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:56:00Z |
| publishDate | 2022-12-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-9833165058324af8a09e3aa928fe30a72023-11-08T19:13:41ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882022-12-014110.5269/bspm.51593A note on the Seidel and Seidel Laplacian matricesJalal Askari0University of Kashan In this paper we investigate the spectrum of the Seidel and Seidel Laplacian matrix of a graph. We generalized the concept of Seidel Laplacian matrix which denoted by Seidel matrix and obtained some results related to them. This can be intuitively understood as a consequence of the relationship between the Seidel and Seidel Laplacian matrix in the graph by Zagreb index. In closing, we mention some alternatives to and generalization of the Seidel and Seidel Laplacian matrices. Also, we obtain relation between Seidel and Seidel Laplacian energy, related to all graphs with order n. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/51593 |
| spellingShingle | Jalal Askari A note on the Seidel and Seidel Laplacian matrices Boletim da Sociedade Paranaense de Matemática |
| title | A note on the Seidel and Seidel Laplacian matrices |
| title_full | A note on the Seidel and Seidel Laplacian matrices |
| title_fullStr | A note on the Seidel and Seidel Laplacian matrices |
| title_full_unstemmed | A note on the Seidel and Seidel Laplacian matrices |
| title_short | A note on the Seidel and Seidel Laplacian matrices |
| title_sort | note on the seidel and seidel laplacian matrices |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/51593 |
| work_keys_str_mv | AT jalalaskari anoteontheseidelandseidellaplacianmatrices AT jalalaskari noteontheseidelandseidellaplacianmatrices |