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 (English)

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

Upload Full Text

wf_yes

Embargo Period

4-16-2024

Download

Share

COinS