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arxiv: 1109.2195 · v1 · pith:DS4XLGPRnew · submitted 2011-09-10 · 🧮 math.CO

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

classification 🧮 math.CO
keywords distance-regulargraphdiameterintersectionnumberrelationshipantipodalbipartite
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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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