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@@ -80,3 +80,3 @@
80 80
 - For all \f$u\in V\f$ nodes:
81
   - \f$\pi(u)<=0\f$;
81
   - \f$\pi(u)\leq 0\f$;
82 82
   - if \f$\sum_{uv\in A} f(uv) - \sum_{vu\in A} f(vu) \neq sup(u)\f$,
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@@ -147,3 +147,3 @@
147 147
 - For all \f$u\in V\f$ nodes:
148
   - \f$\pi(u)>=0\f$;
148
   - \f$\pi(u)\geq 0\f$;
149 149
   - if \f$\sum_{uv\in A} f(uv) - \sum_{vu\in A} f(vu) \neq sup(u)\f$,
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@@ -302,3 +302,3 @@
302 302
    /// \c OperationTraits type.
303
    /// For more information see \ref BellmanFordDefaultOperationTraits.
303
    /// For more information, see \ref BellmanFordDefaultOperationTraits.
304 304
    template <class T>
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@@ -720,3 +720,3 @@
720 720
    /// The shortest path tree used here is equal to the shortest path
721
    /// tree used in \ref predNode() and \predMap().
721
    /// tree used in \ref predNode() and \ref predMap().
722 722
    ///
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@@ -735,3 +735,3 @@
735 735
    /// The shortest path tree used here is equal to the shortest path
736
    /// tree used in \ref predArc() and \predMap().
736
    /// tree used in \ref predArc() and \ref predMap().
737 737
    ///
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@@ -65,3 +65,3 @@
65 65
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
66
    ///By default it is a NullMap.
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    ///By default, it is a NullMap.
67 67
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
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@@ -850,3 +850,3 @@
850 850
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
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    ///By default it is a NullMap.
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    ///By default, it is a NullMap.
852 852
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
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@@ -308,3 +308,3 @@
308 308
    /// digraph and the maximum level should be passed to it).
309
    /// However an external elevator object could also be passed to the
309
    /// However, an external elevator object could also be passed to the
310 310
    /// algorithm with the \ref elevator(Elevator&) "elevator()" function
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@@ -109,3 +109,3 @@
109 109
      /// This iterator goes through each node of the digraph.
110
      /// Its usage is quite simple, for example you can count the number
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      /// Its usage is quite simple, for example, you can count the number
111 111
      /// of nodes in a digraph \c g of type \c %Digraph like this:
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@@ -198,3 +198,3 @@
198 198
      /// of a digraph.
199
      /// Its usage is quite simple, for example you can count the number
199
      /// Its usage is quite simple, for example, you can count the number
200 200
      /// of outgoing arcs of a node \c n
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@@ -243,3 +243,3 @@
243 243
      /// of a digraph.
244
      /// Its usage is quite simple, for example you can count the number
244
      /// Its usage is quite simple, for example, you can count the number
245 245
      /// of incoming arcs of a node \c n
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@@ -287,3 +287,3 @@
287 287
      /// This iterator goes through each arc of the digraph.
288
      /// Its usage is quite simple, for example you can count the number
288
      /// Its usage is quite simple, for example, you can count the number
289 289
      /// of arcs in a digraph \c g of type \c %Digraph as follows:
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@@ -142,3 +142,3 @@
142 142
      /// This iterator goes through each node of the graph.
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      /// Its usage is quite simple, for example you can count the number
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      /// Its usage is quite simple, for example, you can count the number
144 144
      /// of nodes in a graph \c g of type \c %Graph like this:
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@@ -230,3 +230,3 @@
230 230
      /// This iterator goes through each edge of the graph.
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      /// Its usage is quite simple, for example you can count the number
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      /// Its usage is quite simple, for example, you can count the number
232 232
      /// of edges in a graph \c g of type \c %Graph as follows:
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@@ -274,3 +274,3 @@
274 274
      /// of a certain node of a graph.
275
      /// Its usage is quite simple, for example you can compute the
275
      /// Its usage is quite simple, for example, you can compute the
276 276
      /// degree (i.e. the number of incident edges) of a node \c n
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@@ -371,3 +371,3 @@
371 371
      /// This iterator goes through each directed arc of the graph.
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      /// Its usage is quite simple, for example you can count the number
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      /// Its usage is quite simple, for example, you can count the number
373 373
      /// of arcs in a graph \c g of type \c %Graph as follows:
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@@ -415,3 +415,3 @@
415 415
      /// certain node of a graph.
416
      /// Its usage is quite simple, for example you can count the number
416
      /// Its usage is quite simple, for example, you can count the number
417 417
      /// of outgoing arcs of a node \c n
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@@ -463,3 +463,3 @@
463 463
      /// certain node of a graph.
464
      /// Its usage is quite simple, for example you can count the number
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      /// Its usage is quite simple, for example, you can count the number
465 465
      /// of incoming arcs of a node \c n
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@@ -589,3 +589,3 @@
589 589
      ///
590
      /// Edges don't have source and target nodes, however methods
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      /// Edges don't have source and target nodes, however, methods
591 591
      /// u() and v() are used to query the two end-nodes of an edge.
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@@ -602,3 +602,3 @@
602 602
      ///
603
      /// Edges don't have source and target nodes, however methods
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      /// Edges don't have source and target nodes, however, methods
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      /// u() and v() are used to query the two end-nodes of an edge.
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@@ -20,3 +20,3 @@
20 20
///\file
21
///\brief The concept of graph components.
21
///\brief The concepts of graph components.
22 22

	
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@@ -20,3 +20,3 @@
20 20
///\file
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///\brief Classes for representing paths in digraphs.
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///\brief The concept of paths
22 22
///
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@@ -40,9 +40,18 @@
40 40
    /// digraph.
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    /// In a sense, a path can be treated as a list of arcs.
42
    /// LEMON path types just store this list. As a consequence, they cannot
43
    /// enumerate the nodes on the path directly and a zero length path
44
    /// cannot store its source node.
45
    ///
46
    /// The arcs of a path should be stored in the order of their directions,
47
    /// i.e. the target node of each arc should be the same as the source
48
    /// node of the next arc. This consistency could be checked using
49
    /// \ref checkPath().
50
    /// The source and target nodes of a (consistent) path can be obtained
51
    /// using \ref pathSource() and \ref pathTarget().
52
    ///
53
    /// A path can be constructed from another path of any type using the
54
    /// copy constructor or the assignment operator.
55
    ///
41 56
    /// \tparam GR The digraph type in which the path is.
42
    ///
43
    /// In a sense, the path can be treated as a list of arcs. The
44
    /// lemon path type stores just this list. As a consequence it
45
    /// cannot enumerate the nodes in the path and the zero length
46
    /// paths cannot store the source.
47
    ///
48 57
    template <typename GR>
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@@ -61,3 +70,3 @@
61 70

	
62
      /// \brief Template constructor
71
      /// \brief Template copy constructor
63 72
      template <typename CPath>
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@@ -65,3 +74,3 @@
65 74

	
66
      /// \brief Template assigment
75
      /// \brief Template assigment operator
67 76
      template <typename CPath>
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@@ -72,3 +81,3 @@
72 81

	
73
      /// Length of the path ie. the number of arcs in the path.
82
      /// Length of the path, i.e. the number of arcs on the path.
74 83
      int length() const { return 0;}
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@@ -81,5 +90,5 @@
81 90

	
82
      /// \brief LEMON style iterator for path arcs
91
      /// \brief LEMON style iterator for enumerating the arcs of a path.
83 92
      ///
84
      /// This class is used to iterate on the arcs of the paths.
93
      /// LEMON style iterator class for enumerating the arcs of a path.
85 94
      class ArcIt {
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@@ -90,6 +99,6 @@
90 99
        ArcIt(Invalid) {}
91
        /// Constructor for first arc
100
        /// Sets the iterator to the first arc of the given path
92 101
        ArcIt(const Path &) {}
93 102

	
94
        /// Conversion to Arc
103
        /// Conversion to \c Arc
95 104
        operator Arc() const { return INVALID; }
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@@ -194,14 +203,11 @@
194 203
    /// A skeleton structure for path dumpers. The path dumpers are
195
    /// the generalization of the paths. The path dumpers can
196
    /// enumerate the arcs of the path wheter in forward or in
197
    /// backward order.  In most time these classes are not used
198
    /// directly rather it used to assign a dumped class to a real
199
    /// path type.
204
    /// the generalization of the paths, they can enumerate the arcs
205
    /// of the path either in forward or in backward order.
206
    /// These classes are typically not used directly, they are rather
207
    /// used to be assigned to a real path type.
200 208
    ///
201 209
    /// The main purpose of this concept is that the shortest path
202
    /// algorithms can enumerate easily the arcs in reverse order.
203
    /// If we would like to give back a real path from these
204
    /// algorithms then we should create a temporarly path object. In
205
    /// LEMON such algorithms gives back a path dumper what can
206
    /// assigned to a real path and the dumpers can be implemented as
210
    /// algorithms can enumerate the arcs easily in reverse order.
211
    /// In LEMON, such algorithms give back a (reverse) path dumper that
212
    /// can be assigned to a real path. The dumpers can be implemented as
207 213
    /// an adaptor class to the predecessor map.
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@@ -209,5 +215,2 @@
209 215
    /// \tparam GR The digraph type in which the path is.
210
    ///
211
    /// The paths can be constructed from any path type by a
212
    /// template constructor or a template assignment operator.
213 216
    template <typename GR>
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@@ -221,3 +224,3 @@
221 224

	
222
      /// Length of the path ie. the number of arcs in the path.
225
      /// Length of the path, i.e. the number of arcs on the path.
223 226
      int length() const { return 0;}
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@@ -229,11 +232,10 @@
229 232
      ///
230
      /// If the RevPathTag is defined and true then reverse dumping
231
      /// is provided in the path dumper. In this case instead of the
232
      /// ArcIt the RevArcIt iterator should be implemented in the
233
      /// dumper.
233
      /// If this tag is defined to be \c True, then reverse dumping
234
      /// is provided in the path dumper. In this case, \c RevArcIt
235
      /// iterator should be implemented instead of \c ArcIt iterator.
234 236
      typedef False RevPathTag;
235 237

	
236
      /// \brief LEMON style iterator for path arcs
238
      /// \brief LEMON style iterator for enumerating the arcs of a path.
237 239
      ///
238
      /// This class is used to iterate on the arcs of the paths.
240
      /// LEMON style iterator class for enumerating the arcs of a path.
239 241
      class ArcIt {
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@@ -244,6 +246,6 @@
244 246
        ArcIt(Invalid) {}
245
        /// Constructor for first arc
247
        /// Sets the iterator to the first arc of the given path
246 248
        ArcIt(const PathDumper&) {}
247 249

	
248
        /// Conversion to Arc
250
        /// Conversion to \c Arc
249 251
        operator Arc() const { return INVALID; }
... ...
@@ -262,6 +264,7 @@
262 264

	
263
      /// \brief LEMON style iterator for path arcs
265
      /// \brief LEMON style iterator for enumerating the arcs of a path
266
      /// in reverse direction.
264 267
      ///
265
      /// This class is used to iterate on the arcs of the paths in
266
      /// reverse direction.
268
      /// LEMON style iterator class for enumerating the arcs of a path
269
      /// in reverse direction.
267 270
      class RevArcIt {
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@@ -272,6 +275,6 @@
272 275
        RevArcIt(Invalid) {}
273
        /// Constructor for first arc
276
        /// Sets the iterator to the last arc of the given path
274 277
        RevArcIt(const PathDumper &) {}
275 278

	
276
        /// Conversion to Arc
279
        /// Conversion to \c Arc
277 280
        operator Arc() const { return INVALID; }
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@@ -214,3 +214,3 @@
214 214

	
215
  /// This class can be used in the same way as \ref Counter however it
215
  /// This class can be used in the same way as \ref Counter, but it
216 216
  /// does not count at all and does not print report on destruction.
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@@ -65,3 +65,3 @@
65 65
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
66
    ///By default it is a NullMap.
66
    ///By default, it is a NullMap.
67 67
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
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@@ -780,3 +780,3 @@
780 780
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
781
    ///By default it is a NullMap.
781
    ///By default, it is a NullMap.
782 782
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
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@@ -134,3 +134,3 @@
134 134
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
135
    ///By default it is a NullMap.
135
    ///By default, it is a NullMap.
136 136
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
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@@ -428,3 +428,3 @@
428 428
    ///reference should be passed to the constructor of the heap).
429
    ///However external heap and cross reference objects could also be
429
    ///However, external heap and cross reference objects could also be
430 430
    ///passed to the algorithm using the \ref heap() function before
... ...
@@ -449,3 +449,3 @@
449 449
    ///\c OperationTraits type.
450
    /// For more information see \ref DijkstraDefaultOperationTraits.
450
    /// For more information, see \ref DijkstraDefaultOperationTraits.
451 451
    template <class T>
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@@ -998,3 +998,3 @@
998 998
    ///It must conform to the \ref concepts::WriteMap "WriteMap" concept.
999
    ///By default it is a NullMap.
999
    ///By default, it is a NullMap.
1000 1000
    typedef NullMap<typename Digraph::Node,bool> ProcessedMap;
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@@ -296,7 +296,5 @@
296 296
    template <typename CutMap>
297
    Value minCutMap(const Node& s, ///< 
297
    Value minCutMap(const Node& s,
298 298
                    const Node& t,
299
                    ///< 
300 299
                    CutMap& cutMap
301
                    ///< 
302 300
                    ) const {
... ...
@@ -396,3 +394,3 @@
396 394
                   /// does not necessarily give the same set of nodes.
397
                   /// However it is ensured that
395
                   /// However, it is ensured that
398 396
                   /// \code
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@@ -144,3 +144,3 @@
144 144
  ///\param ost Reference to the output stream.
145
  ///By default it is <tt>std::cout</tt>.
145
  ///By default, it is <tt>std::cout</tt>.
146 146
  ///\param pros If it is \c true, then the \c ostream referenced by \c os
... ...
@@ -514,3 +514,3 @@
514 514

	
515
  ///By default graphToEps() rescales the whole image in order to avoid
515
  ///By default, graphToEps() rescales the whole image in order to avoid
516 516
  ///very big or very small bounding boxes.
... ...
@@ -1116,3 +1116,3 @@
1116 1116
///\param os Reference to the output stream.
1117
///By default it is <tt>std::cout</tt>.
1117
///By default, it is <tt>std::cout</tt>.
1118 1118
///
... ...
@@ -1128,3 +1128,3 @@
1128 1128
///
1129
///For more detailed examples see the \ref graph_to_eps_demo.cc demo file.
1129
///For more detailed examples, see the \ref graph_to_eps_demo.cc demo file.
1130 1130
///
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@@ -289,3 +289,3 @@
289 289
  /// This class is completely static and it needs constant memory space.
290
  /// Thus you can neither add nor delete nodes or edges, however 
290
  /// Thus you can neither add nor delete nodes or edges, however,
291 291
  /// the structure can be resized using resize().
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@@ -429,3 +429,3 @@
429 429
  ///
430
  /// By default the reader uses the first section in the file of the
430
  /// By default, the reader uses the first section in the file of the
431 431
  /// proper type. If a section has an optional name, then it can be
... ...
@@ -2223,3 +2223,3 @@
2223 2223
    ///
2224
    /// For example let's see a section, which contain several
2224
    /// For example, let's see a section, which contain several
2225 2225
    /// integers, which should be inserted into a vector.
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@@ -402,3 +402,3 @@
402 402
    ///\note \c ArcIt and \c OutArcIt iterators referencing the changed
403
    ///arc remain valid, however \c InArcIt iterators are invalidated.
403
    ///arc remain valid, but \c InArcIt iterators are invalidated.
404 404
    ///
... ...
@@ -414,3 +414,3 @@
414 414
    ///\note \c InArcIt iterators referencing the changed arc remain
415
    ///valid, however \c ArcIt and \c OutArcIt iterators are invalidated.
415
    ///valid, but \c ArcIt and \c OutArcIt iterators are invalidated.
416 416
    ///
... ...
@@ -561,3 +561,3 @@
561 561
    /// restored. These events invalidate the snapshot.
562
    /// However the arcs and nodes that were added to the digraph after
562
    /// However, the arcs and nodes that were added to the digraph after
563 563
    /// making the current snapshot can be removed without invalidating it.
... ...
@@ -1288,3 +1288,3 @@
1288 1288
    ///\note \c EdgeIt iterators referencing the changed edge remain
1289
    ///valid, however \c ArcIt iterators referencing the changed edge and
1289
    ///valid, but \c ArcIt iterators referencing the changed edge and
1290 1290
    ///all other iterators whose base node is the changed node are also
... ...
@@ -1373,3 +1373,3 @@
1373 1373
    /// cannot be restored. These events invalidate the snapshot.
1374
    /// However the edges and nodes that were added to the graph after
1374
    /// However, the edges and nodes that were added to the graph after
1375 1375
    /// making the current snapshot can be removed without invalidating it.
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@@ -148,3 +148,3 @@
148 148

	
149
    /// Its usage is quite simple, for example you can count the number
149
    /// Its usage is quite simple, for example, you can count the number
150 150
    /// of columns in an LP \c lp:
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@@ -243,3 +243,3 @@
243 243

	
244
    /// Its usage is quite simple, for example you can count the number
244
    /// Its usage is quite simple, for example, you can count the number
245 245
    /// of rows in an LP \c lp:
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@@ -232,6 +232,6 @@
232 232
  /// values to integer keys from the range <tt>[0..size-1]</tt>.
233
  /// It can be used with some data structures, for example
234
  /// \c UnionFind, \c BinHeap, when the used items are small
233
  /// It can be used together with some data structures, e.g.
234
  /// heap types and \c UnionFind, when the used items are small
235 235
  /// integers. This map conforms to the \ref concepts::ReferenceMap
236
  /// "ReferenceMap" concept.
236
  /// "ReferenceMap" concept. 
237 237
  ///
... ...
@@ -350,5 +350,5 @@
350 350
  ///
351
  /// Apart form that this map can be used in many other cases since it
351
  /// Apart form that, this map can be used in many other cases since it
352 352
  /// is based on \c std::map, which is a general associative container.
353
  /// However keep in mind that it is usually not as efficient as other
353
  /// However, keep in mind that it is usually not as efficient as other
354 354
  /// maps.
... ...
@@ -1787,3 +1787,3 @@
1787 1787
  /// that were marked \c true by an algorithm.
1788
  /// For example it makes easier to store the nodes in the processing
1788
  /// For example, it makes easier to store the nodes in the processing
1789 1789
  /// order of Dfs algorithm, as the following examples show.
... ...
@@ -1802,3 +1802,3 @@
1802 1802
  /// \note LoggerBoolMap is just \ref concepts::WriteMap "writable", so
1803
  /// it cannot be used when a readable map is needed, for example as
1803
  /// it cannot be used when a readable map is needed, for example, as
1804 1804
  /// \c ReachedMap for \c Bfs, \c Dfs and \c Dijkstra algorithms.
... ...
@@ -1924,3 +1924,3 @@
1924 1924
  /// suitable and more efficient for such cases. It provides iterators
1925
  /// to traverse the items with the same associated value, however
1925
  /// to traverse the items with the same associated value, but
1926 1926
  /// it does not have \c InverseMap.
... ...
@@ -3468,3 +3468,3 @@
3468 3468
  /// The correct behavior of InDegMap is not guarantied if these additional
3469
  /// features are used. For example the functions
3469
  /// features are used. For example, the functions
3470 3470
  /// \ref ListDigraph::changeSource() "changeSource()",
... ...
@@ -3598,3 +3598,3 @@
3598 3598
  /// The correct behavior of OutDegMap is not guarantied if these additional
3599
  /// features are used. For example the functions
3599
  /// features are used. For example, the functions
3600 3600
  /// \ref ListDigraph::changeSource() "changeSource()",
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@@ -52,3 +52,3 @@
52 52
  /// Moreover it supports both directions of the supply/demand inequality
53
  /// constraints. For more information see \ref SupplyType.
53
  /// constraints. For more information, see \ref SupplyType.
54 54
  ///
... ...
@@ -61,5 +61,5 @@
61 61
  /// \tparam V The value type used for flow amounts, capacity bounds
62
  /// and supply values in the algorithm. By default it is \c int.
62
  /// and supply values in the algorithm. By default, it is \c int.
63 63
  /// \tparam C The value type used for costs and potentials in the
64
  /// algorithm. By default it is the same as \c V.
64
  /// algorithm. By default, it is the same as \c V.
65 65
  ///
... ...
@@ -70,3 +70,3 @@
70 70
  /// implementations, from which the most efficient one is used
71
  /// by default. For more information see \ref PivotRule.
71
  /// by default. For more information, see \ref PivotRule.
72 72
  template <typename GR, typename V = int, typename C = V>
... ...
@@ -126,6 +126,6 @@
126 126
    /// of the algorithm.
127
    /// By default \ref BLOCK_SEARCH "Block Search" is used, which
127
    /// By default, \ref BLOCK_SEARCH "Block Search" is used, which
128 128
    /// proved to be the most efficient and the most robust on various
129 129
    /// test inputs according to our benchmark tests.
130
    /// However another pivot rule can be selected using the \ref run()
130
    /// However, another pivot rule can be selected using the \ref run()
131 131
    /// function with the proper parameter.
... ...
@@ -133,3 +133,3 @@
133 133

	
134
      /// The First Eligible pivot rule.
134
      /// The \e First \e Eligible pivot rule.
135 135
      /// The next eligible arc is selected in a wraparound fashion
... ...
@@ -138,3 +138,3 @@
138 138

	
139
      /// The Best Eligible pivot rule.
139
      /// The \e Best \e Eligible pivot rule.
140 140
      /// The best eligible arc is selected in every iteration.
... ...
@@ -142,3 +142,3 @@
142 142

	
143
      /// The Block Search pivot rule.
143
      /// The \e Block \e Search pivot rule.
144 144
      /// A specified number of arcs are examined in every iteration
... ...
@@ -148,3 +148,3 @@
148 148

	
149
      /// The Candidate List pivot rule.
149
      /// The \e Candidate \e List pivot rule.
150 150
      /// In a major iteration a candidate list is built from eligible arcs
... ...
@@ -154,3 +154,3 @@
154 154

	
155
      /// The Altering Candidate List pivot rule.
155
      /// The \e Altering \e Candidate \e List pivot rule.
156 156
      /// It is a modified version of the Candidate List method.
... ...
@@ -814,3 +814,3 @@
814 814
    ///
815
    /// For more information see \ref SupplyType.
815
    /// For more information, see \ref SupplyType.
816 816
    ///
... ...
@@ -846,3 +846,3 @@
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    /// have to be set again. See \ref reset() for examples.
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    /// However the underlying digraph must not be modified after this
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    /// However, the underlying digraph must not be modified after this
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    /// class have been constructed, since it copies and extends the graph.
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@@ -850,3 +850,3 @@
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    /// \param pivot_rule The pivot rule that will be used during the
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    /// algorithm. For more information see \ref PivotRule.
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    /// algorithm. For more information, see \ref PivotRule.
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    ///
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@@ -875,3 +875,3 @@
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    /// \ref run() call.
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    /// However the underlying digraph must not be modified after this
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    /// However, the underlying digraph must not be modified after this
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    /// class have been constructed, since it copies and extends the graph.
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@@ -267,3 +267,3 @@
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    /// digraph and the maximum level should be passed to it).
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    /// However an external elevator object could also be passed to the
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    /// However, an external elevator object could also be passed to the
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    /// algorithm with the \ref elevator(Elevator&) "elevator()" function
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@@ -377,3 +377,3 @@
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    ///necessary to really stop the timer.
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    ///For example the timer
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    ///For example, the timer
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    ///is running if and only if the return value is \c true
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@@ -45,3 +45,3 @@
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  /// only four methods: join (union), find, insert and size.
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  /// For more features see the \ref UnionFindEnum class.
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  /// For more features, see the \ref UnionFindEnum class.
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  ///
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