Title

On the existence of r-regular singular and nonsingular graphs arbitrarily large order

Date of Publication

2000

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics Department

Abstract/Summary

This thesis is based on two articles on singular graphs: Regular Singular and Nonsingular Graphs of Arbitrarily Large Order Exist by Dr. Estrelita Agpalza and Dr. Severino Gervacio and Construction of r-Regular Singular Graphs by Dr. Severino Gervacio and Dr. Leonor Aquino-Ruivivar. The study gave an exposition of the said articles and sought to produce a self-contained write-up on the subject matter included in these articles.

The article by Dr. Gervacio and Dr. Agpalza gave a theoretical proof of the existence of singular and nonsingular graphs of arbitrarily large order and discussed the construction of such graphs using process of the cycle graphs.

The second article gave a constructive proof of the existence of connected r-regular singular graphs using neighbor sets and I-factors.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU10023

Shelf Location

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

Physical Description

74 leaves

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