Maximal m-free digraphs ——– A generalization of tournament graphs

نویسندگان

  • Jian Shen
  • Lidong T. Zhou
چکیده

We call a digraph D = (V,E) a maximal m-free digraph if only if D has no cycles of length at most m and adding any ordered pair (u, v) 6∈ E will create a cycle of length at most m. In this note, we investigate this special class of digraphs. We will show that these digraphs share similar properties with tournament digraphs and this ”maximality” condition can be used to solve several extremal problems in digraphs.

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تاریخ انتشار 2012