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@@ -221,24 +221,16 @@
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We have a length map and a maximum speed map on the arcs of a digraph.
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The minimum time to pass the arc can be calculated as the division of
|
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the two maps which can be done implicitly with the \c DivMap template
|
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class. We use the implicit minimum time map as the length map of the
|
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\c Dijkstra algorithm.
|
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*/
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/**
|
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|
@defgroup matrices Matrices
|
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|
@ingroup datas
|
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|
\brief Two dimensional data storages implemented in LEMON.
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|
This group contains two dimensional data storages implemented in LEMON.
|
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|
*/
|
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/**
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@defgroup paths Path Structures
|
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@ingroup datas
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\brief %Path structures implemented in LEMON.
|
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232 |
|
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This group contains the path structures implemented in LEMON.
|
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234 |
|
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LEMON provides flexible data structures to work with paths.
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All of them have similar interfaces and they can be copied easily with
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@@ -254,16 +246,38 @@
|
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@ingroup datas
|
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247 |
\brief Auxiliary data structures implemented in LEMON.
|
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248 |
|
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This group contains some data structures implemented in LEMON in
|
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order to make it easier to implement combinatorial algorithms.
|
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*/
|
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252 |
|
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253 |
/**
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@defgroup geomdat Geometric Data Structures
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@ingroup auxdat
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\brief Geometric data structures implemented in LEMON.
|
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|
|
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This group contains geometric data structures implemented in LEMON.
|
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- \ref lemon::dim2::Point "dim2::Point" implements a two dimensional
|
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vector with the usual operations.
|
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- \ref lemon::dim2::Box "dim2::Box" can be used to determine the
|
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rectangular bounding box of a set of \ref lemon::dim2::Point
|
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"dim2::Point"'s.
|
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*/
|
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|
|
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/**
|
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@defgroup matrices Matrices
|
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@ingroup auxdat
|
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\brief Two dimensional data storages implemented in LEMON.
|
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|
|
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This group contains two dimensional data storages implemented in LEMON.
|
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*/
|
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|
|
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/**
|
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@defgroup algs Algorithms
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\brief This group contains the several algorithms
|
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implemented in LEMON.
|
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279 |
|
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280 |
This group contains the several algorithms
|
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281 |
implemented in LEMON.
|
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*/
|
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283 |
|
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@@ -293,16 +307,25 @@
|
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for solving the \e all-pairs \e shortest \e paths \e problem when arc
|
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lenghts can be either positive or negative, but the digraph should
|
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not contain directed cycles with negative total length.
|
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- \ref Suurballe A successive shortest path algorithm for finding
|
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arc-disjoint paths between two nodes having minimum total length.
|
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*/
|
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313 |
|
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/**
|
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@defgroup spantree Minimum Spanning Tree Algorithms
|
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@ingroup algs
|
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\brief Algorithms for finding minimum cost spanning trees and arborescences.
|
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|
|
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This group contains the algorithms for finding minimum cost spanning
|
|
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trees and arborescences.
|
|
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*/
|
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|
|
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/**
|
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@defgroup max_flow Maximum Flow Algorithms
|
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@ingroup algs
|
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326 |
\brief Algorithms for finding maximum flows.
|
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327 |
|
305 |
328 |
This group contains the algorithms for finding maximum flows and
|
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329 |
feasible circulations.
|
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330 |
|
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The \e maximum \e flow \e problem is to find a flow of maximum value between
|
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@@ -386,40 +409,16 @@
|
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- \ref GomoryHu "Gomory-Hu tree computation" for calculating
|
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410 |
all-pairs minimum cut in undirected graphs.
|
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411 |
|
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If you want to find minimum cut just between two distinict nodes,
|
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see the \ref max_flow "maximum flow problem".
|
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414 |
*/
|
392 |
415 |
|
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/**
|
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|
@defgroup graph_properties Connectivity and Other Graph Properties
|
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|
@ingroup algs
|
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|
\brief Algorithms for discovering the graph properties
|
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|
|
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|
This group contains the algorithms for discovering the graph properties
|
399 |
|
like connectivity, bipartiteness, euler property, simplicity etc.
|
400 |
|
|
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|
\image html connected_components.png
|
402 |
|
\image latex connected_components.eps "Connected components" width=\textwidth
|
403 |
|
*/
|
404 |
|
|
405 |
|
/**
|
406 |
|
@defgroup planar Planarity Embedding and Drawing
|
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|
@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
|
415 |
|
*/
|
416 |
|
|
417 |
|
/**
|
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417 |
@defgroup matching Matching Algorithms
|
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@ingroup algs
|
420 |
419 |
\brief Algorithms for finding matchings in graphs and bipartite graphs.
|
421 |
420 |
|
422 |
421 |
This group contains the algorithms for calculating
|
423 |
422 |
matchings in graphs and bipartite graphs. The general matching problem is
|
424 |
423 |
finding a subset of the edges for which each node has at most one incident
|
425 |
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edge.
|
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... |
@@ -450,43 +449,58 @@
|
450 |
449 |
Edmond's blossom shrinking algorithm for calculating maximum weighted
|
451 |
450 |
perfect matching in general graphs.
|
452 |
451 |
|
453 |
452 |
\image html bipartite_matching.png
|
454 |
453 |
\image latex bipartite_matching.eps "Bipartite Matching" width=\textwidth
|
455 |
454 |
*/
|
456 |
455 |
|
457 |
456 |
/**
|
458 |
|
@defgroup spantree Minimum Spanning Tree Algorithms
|
|
457 |
@defgroup graph_properties Connectivity and Other Graph Properties
|
459 |
458 |
@ingroup algs
|
460 |
|
\brief Algorithms for finding minimum cost spanning trees and arborescences.
|
|
459 |
\brief Algorithms for discovering the graph properties
|
461 |
460 |
|
462 |
|
This group contains the algorithms for finding minimum cost spanning
|
463 |
|
trees and arborescences.
|
|
461 |
This group contains the algorithms for discovering the graph properties
|
|
462 |
like connectivity, bipartiteness, euler property, simplicity etc.
|
|
463 |
|
|
464 |
\image html connected_components.png
|
|
465 |
\image latex connected_components.eps "Connected components" width=\textwidth
|
|
466 |
*/
|
|
467 |
|
|
468 |
/**
|
|
469 |
@defgroup planar Planarity Embedding and Drawing
|
|
470 |
@ingroup algs
|
|
471 |
\brief Algorithms for planarity checking, embedding and drawing
|
|
472 |
|
|
473 |
This group contains the algorithms for planarity checking,
|
|
474 |
embedding and drawing.
|
|
475 |
|
|
476 |
\image html planar.png
|
|
477 |
\image latex planar.eps "Plane graph" width=\textwidth
|
|
478 |
*/
|
|
479 |
|
|
480 |
/**
|
|
481 |
@defgroup approx Approximation Algorithms
|
|
482 |
@ingroup algs
|
|
483 |
\brief Approximation algorithms.
|
|
484 |
|
|
485 |
This group contains the approximation and heuristic algorithms
|
|
486 |
implemented in LEMON.
|
464 |
487 |
*/
|
465 |
488 |
|
466 |
489 |
/**
|
467 |
490 |
@defgroup auxalg Auxiliary Algorithms
|
468 |
491 |
@ingroup algs
|
469 |
492 |
\brief Auxiliary algorithms implemented in LEMON.
|
470 |
493 |
|
471 |
494 |
This group contains some algorithms implemented in LEMON
|
472 |
495 |
in order to make it easier to implement complex algorithms.
|
473 |
496 |
*/
|
474 |
497 |
|
475 |
498 |
/**
|
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.
|
482 |
|
*/
|
483 |
|
|
484 |
|
/**
|
485 |
499 |
@defgroup gen_opt_group General Optimization Tools
|
486 |
500 |
\brief This group contains some general optimization frameworks
|
487 |
501 |
implemented in LEMON.
|
488 |
502 |
|
489 |
503 |
This group contains some general optimization frameworks
|
490 |
504 |
implemented in LEMON.
|
491 |
505 |
*/
|
492 |
506 |
|
... |
... |
@@ -582,17 +596,17 @@
|
582 |
596 |
@ingroup io_group
|
583 |
597 |
\brief General \c EPS drawer and graph exporter
|
584 |
598 |
|
585 |
599 |
This group contains general \c EPS drawing methods and special
|
586 |
600 |
graph exporting tools.
|
587 |
601 |
*/
|
588 |
602 |
|
589 |
603 |
/**
|
590 |
|
@defgroup dimacs_group DIMACS format
|
|
604 |
@defgroup dimacs_group DIMACS Format
|
591 |
605 |
@ingroup io_group
|
592 |
606 |
\brief Read and write files in DIMACS format
|
593 |
607 |
|
594 |
608 |
Tools to read a digraph from or write it to a file in DIMACS format data.
|
595 |
609 |
*/
|
596 |
610 |
|
597 |
611 |
/**
|
598 |
612 |
@defgroup nauty_group NAUTY Format
|
... |
... |
@@ -644,29 +658,29 @@
|
644 |
658 |
@defgroup map_concepts Map Concepts
|
645 |
659 |
@ingroup concept
|
646 |
660 |
\brief Skeleton and concept checking classes for maps
|
647 |
661 |
|
648 |
662 |
This group contains the skeletons and concept checking classes of maps.
|
649 |
663 |
*/
|
650 |
664 |
|
651 |
665 |
/**
|
|
666 |
@defgroup tools Standalone Utility Applications
|
|
667 |
|
|
668 |
Some utility applications are listed here.
|
|
669 |
|
|
670 |
The standard compilation procedure (<tt>./configure;make</tt>) will compile
|
|
671 |
them, as well.
|
|
672 |
*/
|
|
673 |
|
|
674 |
/**
|
652 |
675 |
\anchor demoprograms
|
653 |
676 |
|
654 |
677 |
@defgroup demos Demo Programs
|
655 |
678 |
|
656 |
679 |
Some demo programs are listed here. Their full source codes can be found in
|
657 |
680 |
the \c demo subdirectory of the source tree.
|
658 |
681 |
|
659 |
682 |
In order to compile them, use the <tt>make demo</tt> or the
|
660 |
683 |
<tt>make check</tt> commands.
|
661 |
684 |
*/
|
662 |
685 |
|
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 |
|
|
672 |
686 |
}
|