On distance regular graphs with height two, II

Date of Publication

1999

Document Type

Master's Thesis

Degree Name

Master of Science in Mathematics

Subject Categories

Geometry and Topology

College

College of Science

Department/Unit

Mathematics and Statistics

Thesis Adviser

Dr. Yolando B. Beronque

Defense Panel Chair

Dr. Arlene A. Pascasio

Defense Panel Member

Dr. Severino V. Gervacio
Rigor Ponsones

Abstract/Summary

This thesis is an exposition of the paper of Masato Tomiyama entitled On Distance Regular Graphs with Height Two, II . In particular, this paper aims to show that if T is a distance-regular graph with diameter d is greater than or equal to 3 and height h = 2, and suppose that for every a in T, and every B in Td (a), Td (a) intersection T2 (B) is isomorphic to a complete multipartite graph Ktx2 with t greater than or equal to 2, then d = 4 and T is isomorphic to the Johnson graph J(10,4).

Abstract Format

html

Language

English

Format

Print

Accession Number

TG02871

Shelf Location

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

Physical Description

124 leaves

Keywords

Graph theory; Graphic methods; Topology; Combinatorial analysis

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