A relationship between the diameter and the intersection number c2 for a distance-regular graph

Details A relationship between the diameter and the intersection number c2 for a distance-regular graph A relationship between the diameter and the intersection number c2 for a distance-regular graph

2011-09-10

arxiv.org/abs/1109.2195v1

Mathematics

Combinatorics

Scientific paper

In this paper we will look at the relationship between the intersection
number c2 and its diameter for a distance-regular graph. And also, we give some
tools to show that a distance-regular graph with large c2 is bipartite, and a
tool to show that if kD is too small then the distance-regular graph has to be
antipodal.

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