There are only finitely many distance-regular graphs with valency k at least three, fixed ratio k2/k and large diameter

Abstract

In this paper, we show that for given positive integer C, there are only finitely many distance-regular graphs with valency k at least three, diameter D at least six and k2/k<=C. This extends a conjecture of Bannai and Ito.

12 pages

References in corpus (2)

• Distance-regular graph with large a1 or c2
• There are only finitely many distance-regular graphs of fixed valency greater than two

Cited by in corpus (1)

• On electric resistances for distance-regular graphs