Date of Publication
7-11-2022
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics with specialization in Business Applications
Subject Categories
Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics Department
Thesis Advisor
Francis Joseph H. Campeña
Defense Panel Chair
Isagani B. Jos
Defense Panel Member
Michele G. Tan
Abstract/Summary
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.
Abstract Format
html
Language
English
Format
Electronic
Physical Description
25 num. leaves
Keywords
Laplacian matrices
Recommended Citation
Sung, I. (2022). Laplacian and signless-laplacian energies of closed shadow graphs. Retrieved from https://animorepository.dlsu.edu.ph/etdb_math/17
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Embargo Period
7-11-2022
