Pseudocyclic and non-amorphic fusion schemes of the cyclotomic association schemes

Details Pseudocyclic and non-amorphic fusion schemes of the cyclotomic association schemes Pseudocyclic and non-amorphic fusion schemes of the cyclotomic association schemes

2010-12-10

arxiv.org/abs/1012.2181v2

Mathematics

Combinatorics

12 pages, corrected typos

Scientific paper

We construct twelve infinite families of pseudocyclic and non-amorphic
association schemes, in which each nontrivial relation is a strongly regular
graph. Three of the twelve families generalize the counterexamples to A. V.
Ivanov's conjecture by Ikuta and Munemasa [15].

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