Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8903068 | Discrete Mathematics | 2018 | 6 Pages |
Abstract
Izo(r) is the pseudogeometric graph for pGr(s,t) which satisfies the Krein equality and of which the local graph also satisfies the Krein equality. We prove that Izo(r) exists if and only if a spherical tight 4-design on S(2r+1)2â4 exists. Nonexistence of infinitely many spherical tight 4-designs is well known. It gives the nonexistence of Izo(r) for infinitely many r. Especially, Izo(4) does not exist, which was the first open case.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
SeungHyun Shin,