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arXiv 1012.2181math.CO

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

Tao Feng, Fan Wu, Qing Xiang

英文摘要:

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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