Changeset 1019:234d635ad721 in lemon for lemon/hao_orlin.h
 Timestamp:
 11/15/10 08:45:12 (13 years ago)
 Branch:
 default
 Phase:
 public
 File:

 1 edited
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lemon/hao_orlin.h
r956 r1019 54 54 /// preflow pushrelabel algorithm. Our implementation calculates 55 55 /// the minimum cut in \f$ O(n^2\sqrt{m}) \f$ time (we use the 56 /// highestlabel rule), or in \f$O(nm)\f$ for unit capacities. The57 /// purpose of such algorithm is e.g.testing network reliability.56 /// highestlabel rule), or in \f$O(nm)\f$ for unit capacities. A notable 57 /// use of this algorithm is testing network reliability. 58 58 /// 59 59 /// For an undirected graph you can run just the first phase of the … … 913 913 /// sourceside (i.e. a set \f$ X\subsetneq V \f$ with 914 914 /// \f$ source \in X \f$ and minimal outgoing capacity). 915 /// It updates the stored cut if (and only if) the newly found one 916 /// is better. 915 917 /// 916 918 /// \pre \ref init() must be called before using this function. … … 925 927 /// sinkside (i.e. a set \f$ X\subsetneq V \f$ with 926 928 /// \f$ source \notin X \f$ and minimal outgoing capacity). 929 /// It updates the stored cut if (and only if) the newly found one 930 /// is better. 927 931 /// 928 932 /// \pre \ref init() must be called before using this function. … … 934 938 /// \brief Run the algorithm. 935 939 /// 936 /// This function runs the algorithm. It finds nodes \c source and937 /// \c target arbitrarily andthen calls \ref init(), \ref calculateOut()940 /// This function runs the algorithm. It chooses source node, 941 /// then calls \ref init(), \ref calculateOut() 938 942 /// and \ref calculateIn(). 939 943 void run() { … … 945 949 /// \brief Run the algorithm. 946 950 /// 947 /// This function runs the algorithm. It uses the given \c source node,948 /// finds a proper \c target node and then calls the \ref init(),949 /// \ref calculateOut() and \ref calculateIn().951 /// This function runs the algorithm. It calls \ref init(), 952 /// \ref calculateOut() and \ref calculateIn() with the given 953 /// source node. 950 954 void run(const Node& s) { 951 955 init(s); … … 966 970 /// \brief Return the value of the minimum cut. 967 971 /// 968 /// This function returns the value of the minimum cut. 972 /// This function returns the value of the best cut found by the 973 /// previously called \ref run(), \ref calculateOut() or \ref 974 /// calculateIn(). 969 975 /// 970 976 /// \pre \ref run(), \ref calculateOut() or \ref calculateIn() … … 977 983 /// \brief Return a minimum cut. 978 984 /// 979 /// This function sets \c cutMap to the characteristic vector of a 980 /// minimum value cut: it will give a nonempty set \f$ X\subsetneq V \f$ 981 /// with minimal outgoing capacity (i.e. \c cutMap will be \c true exactly 985 /// This function gives the best cut found by the 986 /// previously called \ref run(), \ref calculateOut() or \ref 987 /// calculateIn(). 988 /// 989 /// It sets \c cutMap to the characteristic vector of the found 990 /// minimum value cut  a nonempty set \f$ X\subsetneq V \f$ 991 /// of minimum outgoing capacity (i.e. \c cutMap will be \c true exactly 982 992 /// for the nodes of \f$ X \f$). 983 993 ///
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