On the Estrada Index of Seidel Matrix
Let G be a simple graph with n vertices and with the Seidel matrix S. Suppose μ1, μ2,..., μn are the Seidel eigenvalues of G. The Estrada index of the Seidel matrix of G is defined as SEE(G)=∑ni=1 eμi. In this paper, we compute the Estrada index of the Seidel matrix of some known graphs....
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| Format: | Article |
| Language: | English |
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University of Kashan
2020-03-01
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| Series: | Mathematics Interdisciplinary Research |
| Subjects: | |
| Online Access: | https://mir.kashanu.ac.ir/article_107699_6cdacbe1cea3da68282ce63081336193.pdf |
| _version_ | 1827765079109533696 |
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| author | Mardjan Hakimi-Nezhaad Modjtaba Ghorbani |
| author_facet | Mardjan Hakimi-Nezhaad Modjtaba Ghorbani |
| author_sort | Mardjan Hakimi-Nezhaad |
| collection | DOAJ |
| description | Let G be a simple graph with n vertices and with the Seidel matrix S. Suppose μ1, μ2,..., μn are the Seidel eigenvalues of G. The Estrada index of the Seidel matrix of G is defined as SEE(G)=∑ni=1 eμi. In this paper, we compute the Estrada index of the Seidel matrix of some known graphs. Also, some bounds for the Seidel energy of graphs are given. |
| first_indexed | 2024-03-11T11:13:59Z |
| format | Article |
| id | doaj.art-f2d9c2925558446680856a8c99646d10 |
| institution | Directory Open Access Journal |
| issn | 2476-4965 |
| language | English |
| last_indexed | 2024-03-11T11:13:59Z |
| publishDate | 2020-03-01 |
| publisher | University of Kashan |
| record_format | Article |
| series | Mathematics Interdisciplinary Research |
| spelling | doaj.art-f2d9c2925558446680856a8c99646d102023-11-11T08:13:49ZengUniversity of KashanMathematics Interdisciplinary Research2476-49652020-03-0151435410.22052/mir.2019.179267.1128107699On the Estrada Index of Seidel MatrixMardjan Hakimi-Nezhaad0Modjtaba Ghorbani1Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, TehranDepartment of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, TehranLet G be a simple graph with n vertices and with the Seidel matrix S. Suppose μ1, μ2,..., μn are the Seidel eigenvalues of G. The Estrada index of the Seidel matrix of G is defined as SEE(G)=∑ni=1 eμi. In this paper, we compute the Estrada index of the Seidel matrix of some known graphs. Also, some bounds for the Seidel energy of graphs are given.https://mir.kashanu.ac.ir/article_107699_6cdacbe1cea3da68282ce63081336193.pdfseidel matrixseidel eigenvalueestrada index |
| spellingShingle | Mardjan Hakimi-Nezhaad Modjtaba Ghorbani On the Estrada Index of Seidel Matrix Mathematics Interdisciplinary Research seidel matrix seidel eigenvalue estrada index |
| title | On the Estrada Index of Seidel Matrix |
| title_full | On the Estrada Index of Seidel Matrix |
| title_fullStr | On the Estrada Index of Seidel Matrix |
| title_full_unstemmed | On the Estrada Index of Seidel Matrix |
| title_short | On the Estrada Index of Seidel Matrix |
| title_sort | on the estrada index of seidel matrix |
| topic | seidel matrix seidel eigenvalue estrada index |
| url | https://mir.kashanu.ac.ir/article_107699_6cdacbe1cea3da68282ce63081336193.pdf |
| work_keys_str_mv | AT mardjanhakiminezhaad ontheestradaindexofseidelmatrix AT modjtabaghorbani ontheestradaindexofseidelmatrix |