On distance regular graphs with b1=cd-1

Date of Publication

1994

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/Summary

Let be a Distance Regular Graph with diameter d and valency k. This paper proves the following result:Supposeb1 = cd-ab2 = cd-2bi = cd-ifor some i 1. Then the following hold:1. bd-1=c1' bd-2 = c2' ... , bd-i=ci 2. If a = ad = 0 , then k = a (a + 1) b1= ... = b12= a and 1 = c1 = ... ci = ci+1Moreover, ifb1 = cj with j d, then bj

Abstract Format

html

Language

English

Format

Print

Accession Number

TU06646

Shelf Location

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

Physical Description

[36] leaves

Keywords

Graph theory; Analytic functions; Function algebras

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