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JCT
2008

Optimal distortion embeddings of distance regular graphs into Euclidean spaces

8 years 7 months ago
Optimal distortion embeddings of distance regular graphs into Euclidean spaces
ABSTRACT. In this paper we give a lower bound for the least distortion embedding of a distance regular graph into Euclidean space. We use the lower bound for finding the least distortion for Hamming graphs, Johnson graphs, and all strongly regular graphs. Our technique involves semidefinite programming and exploiting the algebra structure of the optimization problem so that the question of finding a lower bound of the least distortion is reduced to an analytic question about orthogonal polynomials.
Frank Vallentin
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2008
Where JCT
Authors Frank Vallentin
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