COIN-OR::LEMON - Graph Library

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    227227
    228228/**
    229 @defgroup matrices Matrices
    230 @ingroup datas
    231 \brief Two dimensional data storages implemented in LEMON.
    232 
    233 This group contains two dimensional data storages implemented in LEMON.
    234 */
    235 
    236 /**
    237229@defgroup paths Path Structures
    238230@ingroup datas
     
    247239any kind of path structure.
    248240
    249 \sa lemon::concepts::Path
     241\sa \ref concepts::Path "Path concept"
     242*/
     243
     244/**
     245@defgroup heaps Heap Structures
     246@ingroup datas
     247\brief %Heap structures implemented in LEMON.
     248
     249This group contains the heap structures implemented in LEMON.
     250
     251LEMON provides several heap classes. They are efficient implementations
     252of the abstract data type \e priority \e queue. They store items with
     253specified values called \e priorities in such a way that finding and
     254removing the item with minimum priority are efficient.
     255The basic operations are adding and erasing items, changing the priority
     256of an item, etc.
     257
     258Heaps are crucial in several algorithms, such as Dijkstra and Prim.
     259The heap implementations have the same interface, thus any of them can be
     260used easily in such algorithms.
     261
     262\sa \ref concepts::Heap "Heap concept"
     263*/
     264
     265/**
     266@defgroup matrices Matrices
     267@ingroup datas
     268\brief Two dimensional data storages implemented in LEMON.
     269
     270This group contains two dimensional data storages implemented in LEMON.
    250271*/
    251272
     
    257278This group contains some data structures implemented in LEMON in
    258279order to make it easier to implement combinatorial algorithms.
     280*/
     281
     282/**
     283@defgroup geomdat Geometric Data Structures
     284@ingroup auxdat
     285\brief Geometric data structures implemented in LEMON.
     286
     287This group contains geometric data structures implemented in LEMON.
     288
     289 - \ref lemon::dim2::Point "dim2::Point" implements a two dimensional
     290   vector with the usual operations.
     291 - \ref lemon::dim2::Box "dim2::Box" can be used to determine the
     292   rectangular bounding box of a set of \ref lemon::dim2::Point
     293   "dim2::Point"'s.
     294*/
     295
     296/**
     297@defgroup matrices Matrices
     298@ingroup auxdat
     299\brief Two dimensional data storages implemented in LEMON.
     300
     301This group contains two dimensional data storages implemented in LEMON.
    259302*/
    260303
     
    299342
    300343/**
     344@defgroup spantree Minimum Spanning Tree Algorithms
     345@ingroup algs
     346\brief Algorithms for finding minimum cost spanning trees and arborescences.
     347
     348This group contains the algorithms for finding minimum cost spanning
     349trees and arborescences.
     350*/
     351
     352/**
    301353@defgroup max_flow Maximum Flow Algorithms
    302354@ingroup algs
     
    376428
    377429\f[ \min_{X \subset V, X\not\in \{\emptyset, V\}}
    378     \sum_{uv\in A, u\in X, v\not\in X}cap(uv) \f]
     430    \sum_{uv\in A: u\in X, v\not\in X}cap(uv) \f]
    379431
    380432LEMON contains several algorithms related to minimum cut problems:
     
    389441If you want to find minimum cut just between two distinict nodes,
    390442see the \ref max_flow "maximum flow problem".
    391 */
    392 
    393 /**
    394 @defgroup graph_properties Connectivity and Other Graph Properties
    395 @ingroup algs
    396 \brief Algorithms for discovering the graph properties
    397 
    398 This group contains the algorithms for discovering the graph properties
    399 like connectivity, bipartiteness, euler property, simplicity etc.
    400 
    401 \image html edge_biconnected_components.png
    402 \image latex edge_biconnected_components.eps "bi-edge-connected components" width=\textwidth
    403 */
    404 
    405 /**
    406 @defgroup planar Planarity Embedding and Drawing
    407 @ingroup algs
    408 \brief Algorithms for planarity checking, embedding and drawing
    409 
    410 This group contains the algorithms for planarity checking,
    411 embedding and drawing.
    412 
    413 \image html planar.png
    414 \image latex planar.eps "Plane graph" width=\textwidth
    415443*/
    416444
     
    456484
    457485/**
    458 @defgroup spantree Minimum Spanning Tree Algorithms
    459 @ingroup algs
    460 \brief Algorithms for finding minimum cost spanning trees and arborescences.
    461 
    462 This group contains the algorithms for finding minimum cost spanning
    463 trees and arborescences.
     486@defgroup graph_properties Connectivity and Other Graph Properties
     487@ingroup algs
     488\brief Algorithms for discovering the graph properties
     489
     490This group contains the algorithms for discovering the graph properties
     491like connectivity, bipartiteness, euler property, simplicity etc.
     492
     493\image html connected_components.png
     494\image latex connected_components.eps "Connected components" width=\textwidth
     495*/
     496
     497/**
     498@defgroup planar Planarity Embedding and Drawing
     499@ingroup algs
     500\brief Algorithms for planarity checking, embedding and drawing
     501
     502This group contains the algorithms for planarity checking,
     503embedding and drawing.
     504
     505\image html planar.png
     506\image latex planar.eps "Plane graph" width=\textwidth
     507*/
     508
     509/**
     510@defgroup approx Approximation Algorithms
     511@ingroup algs
     512\brief Approximation algorithms.
     513
     514This group contains the approximation and heuristic algorithms
     515implemented in LEMON.
    464516*/
    465517
     
    471523This group contains some algorithms implemented in LEMON
    472524in order to make it easier to implement complex algorithms.
    473 */
    474 
    475 /**
    476 @defgroup approx Approximation Algorithms
    477 @ingroup algs
    478 \brief Approximation algorithms.
    479 
    480 This group contains the approximation and heuristic algorithms
    481 implemented in LEMON.
    482525*/
    483526
     
    588631
    589632/**
    590 @defgroup dimacs_group DIMACS format
     633@defgroup dimacs_group DIMACS Format
    591634@ingroup io_group
    592635\brief Read and write files in DIMACS format
     
    650693
    651694/**
     695@defgroup tools Standalone Utility Applications
     696
     697Some utility applications are listed here.
     698
     699The standard compilation procedure (<tt>./configure;make</tt>) will compile
     700them, as well.
     701*/
     702
     703/**
    652704\anchor demoprograms
    653705
     
    661713*/
    662714
    663 /**
    664 @defgroup tools Standalone Utility Applications
    665 
    666 Some utility applications are listed here.
    667 
    668 The standard compilation procedure (<tt>./configure;make</tt>) will compile
    669 them, as well.
    670 */
    671 
    672715}
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