Algebraic implications of certain combinatorial properties of a graph

Date of Publication

2010

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

Thesis Adviser

Arlene A. Pascasio

Defense Panel Chair

Leonor A. Ruivivar

Defense Panel Member

Mark A. Garcia
Mark Oyelle L. Mordeno

Abstract/Summary

This thesis is expository in nature and is based on selected sections of Chapters 2 and 3 of the book entitled "Algebraic Graph Theory" Second Edition, by Norman Biggs [4]. The study highlights the interplay between graph theory and linear algebra. In particular, it focuses on implications of some combinational properties of a graph, such as connectedness and regularity, to the spectrum and the adjacency algebra of the graph.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU16007

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Keywords

Graph theory; Algebras, Linear

Embargo Period

4-15-2021

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