Spherical two-distance sets and spectral theory of signed graphs
Joint work with Tidor, Y ao, Zhang and Zhao (MIT team)
arxiv 2006.06633
Spherical 2 dist set
vi
VN ERd 1v
vi Vj
takes only 2 values fit
j 3
Question Find maximum sizeof spherical 2 dis
x set in RE
i didnt Idi't f
felsite atiidsSeidel
Eixample
regular tetrahedron
6
1251
Glazyrin Yu
Nld
I did
111 whenever d 7 and d
its
Question What if the inner products are fixed
Given
I E p s L s l
Ncd
Wfff Na pLd
Nap d
Max size of oset of unit vectors Vi
VN
in Rd s t
L Vi Vj 7 L
- r p
ti
tj
Review
Neuman
Nap d
E ed ti
unless
C 2
Larman Rogers Seidel