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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Main Author: Sung, Inseok
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Language:English
Published: Animo Repository 2022
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Online Access:https://animorepository.dlsu.edu.ph/etdb_math/17
https://animorepository.dlsu.edu.ph/cgi/viewcontent.cgi?article=1011&context=etdb_math
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spelling 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
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
language English
topic Laplacian matrices
Mathematics
spellingShingle 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
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