On distance regular graphs with b2=1 and antipodal covers

Date of Publication

1998

Document Type

Master's Thesis

Degree Name

Master of Science in Mathematics

Subject Categories

Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Thesis Adviser

Dr. Yolando Beronque

Defense Panel Chair

Dr. Severino Gervacio

Defense Panel Member

Dr. Arlene Pascasio
Rigor Ponsones

Abstract/Summary

This thesis is an exposition of the paper entitled On Distance Regular Graphs with b2 = 1 and Antipodal Covers by Makoto Araya, Akira Hiraki, and Alexander Jurisic.Let T be a Distance Regular Graph of valency k2. It is shown that if b2 = 1, the T is antipodal and one of the following holds:(1) T is the dodecahedron(2) d = 4 and T is antipodal double cover for a Strongly Regular Graph with parameters (k, a1, c2) = (n2 + 1, 0, 2) for an integer n not divisible by four.(3) d = 3 and T is an antipodal cover of a complete graph.

Abstract Format

html

Language

English

Format

Print

Accession Number

TG02838

Shelf Location

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

Physical Description

90 leaves

Keywords

Graph theory; Combinatorial analysis; Mathematics; Combinatorial packing and covering

This document is currently not available here.

Share

COinS