lemon/capacity_scaling.h
changeset 1051 4f9a45a6d6f0
parent 1004 d59484d5fc1f
child 1053 1c978b5bcc65
equal deleted inserted replaced
20:083ca195a82d 21:98a2a0f76c76
    66   ///
    66   ///
    67   /// \ref CapacityScaling implements the capacity scaling version
    67   /// \ref CapacityScaling implements the capacity scaling version
    68   /// of the successive shortest path algorithm for finding a
    68   /// of the successive shortest path algorithm for finding a
    69   /// \ref min_cost_flow "minimum cost flow" \ref amo93networkflows,
    69   /// \ref min_cost_flow "minimum cost flow" \ref amo93networkflows,
    70   /// \ref edmondskarp72theoretical. It is an efficient dual
    70   /// \ref edmondskarp72theoretical. It is an efficient dual
    71   /// solution method.
    71   /// solution method, which runs in polynomial time
       
    72   /// \f$O(e\log U (n+e)\log n)\f$, where <i>U</i> denotes the maximum
       
    73   /// of node supply and arc capacity values.
    72   ///
    74   ///
    73   /// This algorithm is typically slower than \ref CostScaling and
    75   /// This algorithm is typically slower than \ref CostScaling and
    74   /// \ref NetworkSimplex, but in special cases, it can be more
    76   /// \ref NetworkSimplex, but in special cases, it can be more
    75   /// efficient than them.
    77   /// efficient than them.
    76   /// (For more information, see \ref min_cost_flow_algs "the module page".)
    78   /// (For more information, see \ref min_cost_flow_algs "the module page".)