Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal Embeddings of Distance Regular Graphs into Euclidean Spaces   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.

5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
18
The categories of this paper are: econ