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B. D. Sullivan, “A Summary of Results and Problems Related to the Caccetta-H?ggkvist Conjecture,” 2006. http://www.aimath.org/WWN/caccetta/caccetta.pdf

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• TITLE: A Note on Directed 5-Cycles in Digraphs

  AUTHORS: Hao Liang, Junming Xu

  KEYWORDS: Digraph; Directed Cycle

  JOURNAL NAME: Applied Mathematics, Vol.3 No.7, June 21, 2012

  ABSTRACT: In this note, it is proved that if α≥0.24817, then any digraph on n vertices with minimum outdegree at least αn contains a directed cycle of length at most 5.