Almost Given Length Cycles in Digraphs

نویسنده

  • Raphael Yuster
چکیده

A digraph is called k-cyclic if it cannot be made acyclic by removing less than k arcs. It is proved that for every > 0 there are constants K and δ so that for every d ∈ (0, δn), every n2-cyclic digraph with n vertices contains a directed cycle whose length is between d and d+K. A more general result of the same form is obtained for blow-ups of directed cycles.

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عنوان ژورنال:
  • Graphs and Combinatorics

دوره 24  شماره 

صفحات  -

تاریخ انتشار 2008