A construction of spherical designs from finite graphs with the theory of crystal lattice

Details A construction of spherical designs from finite graphs with the theory of crystal lattice A construction of spherical designs from finite graphs with the theory of crystal lattice

2008-04-18

arxiv.org/abs/0804.2956v1

Mathematics

Combinatorics

35 pages, 32 figures. http://www2.math.kyushu-u.ac.jp/~j.shigezumi/

Scientific paper

We want to introduce a construction of spherical designs from finite graphs with the theory of crystal lattice. We start from a finite graph, and we consider standard realization of the crystal lattices as the maximal Abelian covering of the graph. Then, we take the set of vectors which form the crystal lattice. If every vector has the same norm, then we can consider a finite set on Euclidean sphere, and then we get a spherical design. In this paper, we observe the results by numerical calculations. We tried constructing vectors from various finite graphs, strongly regular graphs, distance regular graphs, and so on. We also introduce some facts and conjectures.

Affiliated with

Also associated with

No associations

Rating

A construction of spherical designs from finite graphs with the theory of crystal lattice does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A construction of spherical designs from finite graphs with the theory of crystal lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A construction of spherical designs from finite graphs with the theory of crystal lattice will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-303875