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Randomlyn-cyclic digraphs
Authors:Gary Chartrand  Ortrud R Oellermann  Sergio Ruiz
Institution:(1) Department of Mathematics, Western Michigan University, 49008 Kalamazoo, MI, USA;(2) Instituto de Mathematicas, Universidad Católica de Valparaiso, Valparaíso, Chile
Abstract:A digraphD is randomlyn-cyclic (n≥3) if for each vertexv ofD, every (directed) path with initial vertexv and having length at mostn−1 can be extended to av−v (directed) cycle of lengthn. Several results related to and examples of randomlyn-cyclic digraphs are presented. Also, all randomlyn-cyclic digraphs forn=3, 4, and 5 are determined. Research supported by a Western Michigan University faculty research fellowship. Research supported in part by a College of Arts and Sciences and Graduate College research assistantship from Western Michigan University.
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