Article ID Journal Published Year Pages File Type
4656948 Journal of Combinatorial Theory, Series B 2013 9 Pages PDF
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 k2k⩽C. This extends a conjecture of Bannai and Ito.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Preview
There are only finitely many distance-regular graphs with valency k   at least three, fixed ratio k2k and large diameter
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