Packing directed cycles efficiently

  • Authors:
  • Zeev Nutov;Raphael Yuster

  • Affiliations:
  • Department of Computer Science, The Open University of Israel, Tel Aviv, Israel;Department of Mathematics, University of Haifa, Haifa 31905, Israel

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2007

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Abstract

Let G be a simple digraph. The dicycle packing number of G, denoted @n"c(G), is the maximum size of a set of arc-disjoint directed cycles in G. Let G be a digraph with a nonnegative arc-weight function w. A function @j from the set C of directed cycles in G to R"+ is a fractional dicycle packing of G if @?"e"@?"C"@?"C@j(C)=