On the Existence of Elementary Abelian Cycle Systems |
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| Authors: | Anna Benini Anita Pasotti |
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| Institution: | (1) Dipartimento di Matematica, Facoltà di Ingegneria, Università degli Studi di Brescia, Via Valotti 9, I-25133 Brescia, Italy |
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| Abstract: | We present some necessary and/or sufficient conditions for the existence of an elementary abelian cycle system of the complete
graph. We propose a construction for some classes of perfect elementary abelian cycle systems. Finally we consider elementary
abelian k-cycle systems of the complete multipartite graph.
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| Keywords: | (regular) (i-perfect) cycle system Partial i-differences |
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