On distance regular graphs with b1=cd-1

• Main Authors: Cadorniga, Esteinitz G., Monteverde, Marlon F.
• Format: text
• Language: English
• Published: Animo Repository 1994
• Subjects: Graph theory; Analytic functions; Function algebras
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/16165
• Institution: De La Salle University

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...