Article ID Journal Published Year Pages File Type
8903068 Discrete Mathematics 2018 6 Pages PDF
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)2−4 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.
Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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