Color signless Laplacian energy of graphs
In this paper, we introduce the new concept of color Signless Laplacian energy . It depends on the underlying graph and the colors of the vertices. Moreover, we compute color signless Laplacian spectrum and the color signless Laplacian energy of families of graph with the minimum number of colors. T...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2017-08-01
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| Series: | AKCE International Journal of Graphs and Combinatorics |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1016/j.akcej.2017.02.003 |
| _version_ | 1828323732364460032 |
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| author | Pradeep G. Bhat Sabitha D’Souza |
| author_facet | Pradeep G. Bhat Sabitha D’Souza |
| author_sort | Pradeep G. Bhat |
| collection | DOAJ |
| description | In this paper, we introduce the new concept of color Signless Laplacian energy . It depends on the underlying graph and the colors of the vertices. Moreover, we compute color signless Laplacian spectrum and the color signless Laplacian energy of families of graph with the minimum number of colors. The color signless Laplacian energy for the complement of some colored graphs is also obtained. |
| first_indexed | 2024-04-13T18:56:36Z |
| format | Article |
| id | doaj.art-a92c357bff324bcb9a687109cd3f194c |
| institution | Directory Open Access Journal |
| issn | 0972-8600 |
| language | English |
| last_indexed | 2024-04-13T18:56:36Z |
| publishDate | 2017-08-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | AKCE International Journal of Graphs and Combinatorics |
| spelling | doaj.art-a92c357bff324bcb9a687109cd3f194c2022-12-22T02:34:14ZengTaylor & Francis GroupAKCE International Journal of Graphs and Combinatorics0972-86002017-08-0114214214810.1016/j.akcej.2017.02.00312092616Color signless Laplacian energy of graphsPradeep G. Bhat0Sabitha D’Souza1Department of Mathematics, Manipal Institute of Technology, Manipal UniversityDepartment of Mathematics, Manipal Institute of Technology, Manipal UniversityIn this paper, we introduce the new concept of color Signless Laplacian energy . It depends on the underlying graph and the colors of the vertices. Moreover, we compute color signless Laplacian spectrum and the color signless Laplacian energy of families of graph with the minimum number of colors. The color signless Laplacian energy for the complement of some colored graphs is also obtained.http://dx.doi.org/10.1016/j.akcej.2017.02.003color signless laplacian matrixcolor signless laplacian eigenvaluescolor signless laplacian energy |
| spellingShingle | Pradeep G. Bhat Sabitha D’Souza Color signless Laplacian energy of graphs AKCE International Journal of Graphs and Combinatorics color signless laplacian matrix color signless laplacian eigenvalues color signless laplacian energy |
| title | Color signless Laplacian energy of graphs |
| title_full | Color signless Laplacian energy of graphs |
| title_fullStr | Color signless Laplacian energy of graphs |
| title_full_unstemmed | Color signless Laplacian energy of graphs |
| title_short | Color signless Laplacian energy of graphs |
| title_sort | color signless laplacian energy of graphs |
| topic | color signless laplacian matrix color signless laplacian eigenvalues color signless laplacian energy |
| url | http://dx.doi.org/10.1016/j.akcej.2017.02.003 |
| work_keys_str_mv | AT pradeepgbhat colorsignlesslaplacianenergyofgraphs AT sabithadsouza colorsignlesslaplacianenergyofgraphs |