Pseudocyclic and non-amorphic fusion schemes of the cyclotomic association schemes |
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Authors: | Tao Feng Fan Wu Qing Xiang |
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Institution: | 1. Department of Mathematical Sciences, University of Delaware, Newark, DE, 19716, USA 2. Department of Mathematics, Zhejiang University, Hangzhou, 310027, Zhejiang, China
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Abstract: | 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 (Eur J Combin 31:1513–1519, 2010). |
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