Date of Publication
2024
Document Type
Master's Thesis
Degree Name
Master of Science in Mathematics
Subject Categories
Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics Department
Thesis Advisor
Francis Joseph H. Campeña
Defense Panel Chair
Severino V. Gervacio
Defense Panel Member
Isagani B. Jos
Neil M. Mame
Abstract/Summary
The energy and d-energy of a graph is the sum of the absolute value of eigenvalues of the graph’s adjacency matrix and distance matrix respectively. In 2017, S. Vaidya and K. Popat determined the energy of a shadow graph of a connected graph. In this study, we determine the eigenvalues and d-eigenvalues of a closed shadow graph and closed m-shadow graph. Using those spectrum and distance spectrum that we obtained, we computed the energy and distance energy of closed shadow graph and closed m-shadow graph. We also introduce a new graph operation called anti-shadow of a graph and determine the spectrum of the graph obtained from the graph operator.
Abstract Format
html
Language
English
Format
Electronic
Keywords
Force and energy; Graph theory; Mathematical analysis
Recommended Citation
Morisca, M. L. (2024). On the energy of closed shadow graphs. Retrieved from https://animorepository.dlsu.edu.ph/etdm_math/11
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Embargo Period
4-16-2024
