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2008

On triangle-free distance-regular graphs with an eigenvalue multiplicity equal to the valency

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On triangle-free distance-regular graphs with an eigenvalue multiplicity equal to the valency
Let be a triangle-free distance-regular graph with diameter d 3, valency k 3 and intersection number a2 = 0. Assume has an eigenvalue with multiplicity k. We show that if for d 4 we have a4 = 0, then is 1-homogeneous in the sense of Nomura. In particular, the following infinite family of feasible intersection arrays {2
Kris Coolsaet, Aleksandar Jurisic, Jack H. Koolen
Added 10 Dec 2010
Updated 10 Dec 2010
Type Journal
Year 2008
Where EJC
Authors Kris Coolsaet, Aleksandar Jurisic, Jack H. Koolen
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