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Ars Combinatoria

  • Research article

On the Existence of Extended \(5\)-Cycle Systems Having a Prescribed Number of Idempotent Elements

Michael E.Raines1
1Western Michigan University Department of Mathematics and Statistics Kalamazoo, Michigan USA 49008-5152
  • Published: 31/07/2002

Abstract

In this paper, necessary and sufficient conditions are given for the existence of extended \(5\)-cycle systems of order \(n\) which have \(r\) idempotent elements.

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Citation
Michael E.Raines. On the Existence of Extended \(5\)-Cycle Systems Having a Prescribed Number of Idempotent Elements[J], Ars Combinatoria, Volume 064. 129-162. .