Laplacian and signless-laplacian energies of closed shadow graphs
In 2005, I. Gutman and B. Zhou introduced the notion of Laplacian energy, which is defined as the sum of the differences between the Laplacian eigenvalues of the graph and the average degree of vertices in the graph. In this study, we determine the Laplacian eigenvalues of the closed shadow graphs o...
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oai:animorepository.dlsu.edu.ph:etdb_math-10112022-09-15T07:24:10Z Laplacian and signless-laplacian energies of closed shadow graphs Sung, Inseok In 2005, I. Gutman and B. Zhou introduced the notion of Laplacian energy, which is defined as the sum of the differences between the Laplacian eigenvalues of the graph and the average degree of vertices in the graph. In this study, we determine the Laplacian eigenvalues of the closed shadow graphs of different families of graphs. Thus, also determining the Laplacian energy of the closed shadow graphs of different families of graphs. In addition, we find the relationship between the Laplacian energy of any graph and the Laplacian energy of its closed shadow graph. 2022-07-11T07:00:00Z text application/pdf https://animorepository.dlsu.edu.ph/etdb_math/17 https://animorepository.dlsu.edu.ph/cgi/viewcontent.cgi?article=1011&context=etdb_math Mathematics and Statistics Bachelor's Theses English Animo Repository Laplacian matrices Mathematics |
| institution |
De La Salle University |
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De La Salle University Library |
| continent |
Asia |
| country |
Philippines Philippines |
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De La Salle University Library |
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DLSU Institutional Repository |
| language |
English |
| topic |
Laplacian matrices Mathematics |
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Laplacian matrices Mathematics Sung, Inseok Laplacian and signless-laplacian energies of closed shadow graphs |
| description |
In 2005, I. Gutman and B. Zhou introduced the notion of Laplacian energy, which is defined as the sum of the differences between the Laplacian eigenvalues of the graph and the average degree of vertices in the graph. In this study, we determine the Laplacian eigenvalues of the closed shadow graphs of different families of graphs. Thus, also determining the Laplacian energy of the closed shadow graphs of different families of graphs. In addition, we find the relationship between the Laplacian energy of any graph and the Laplacian energy of its closed shadow graph. |
| format |
text |
| author |
Sung, Inseok |
| author_facet |
Sung, Inseok |
| author_sort |
Sung, Inseok |
| title |
Laplacian and signless-laplacian energies of closed shadow graphs |
| title_short |
Laplacian and signless-laplacian energies of closed shadow graphs |
| title_full |
Laplacian and signless-laplacian energies of closed shadow graphs |
| title_fullStr |
Laplacian and signless-laplacian energies of closed shadow graphs |
| title_full_unstemmed |
Laplacian and signless-laplacian energies of closed shadow graphs |
| title_sort |
laplacian and signless-laplacian energies of closed shadow graphs |
| publisher |
Animo Repository |
| publishDate |
2022 |
| url |
https://animorepository.dlsu.edu.ph/etdb_math/17 https://animorepository.dlsu.edu.ph/cgi/viewcontent.cgi?article=1011&context=etdb_math |
| _version_ |
1744376671713099776 |