Changeset 802:134852d7fb0a in lemon for doc/groups.dox
 Timestamp:
 10/10/09 08:18:46 (11 years ago)
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 default
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 public
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doc/groups.dox
r789 r802 317 317 318 318 This group contains the common graph search algorithms, namely 319 \e breadthfirst \e search (BFS) and \e depthfirst \e search (DFS). 319 \e breadthfirst \e search (BFS) and \e depthfirst \e search (DFS) 320 \ref clrs01algorithms. 320 321 */ 321 322 … … 325 326 \brief Algorithms for finding shortest paths. 326 327 327 This group contains the algorithms for finding shortest paths in digraphs. 328 This group contains the algorithms for finding shortest paths in digraphs 329 \ref clrs01algorithms. 328 330 329 331  \ref Dijkstra algorithm for finding shortest paths from a source node … … 347 349 348 350 This group contains the algorithms for finding minimum cost spanning 349 trees and arborescences .351 trees and arborescences \ref clrs01algorithms. 350 352 */ 351 353 … … 356 358 357 359 This group contains the algorithms for finding maximum flows and 358 feasible circulations .360 feasible circulations \ref clrs01algorithms, \ref amo93networkflows. 359 361 360 362 The \e maximum \e flow \e problem is to find a flow of maximum value between … … 371 373 372 374 LEMON contains several algorithms for solving maximum flow problems: 373  \ref EdmondsKarp EdmondsKarp algorithm. 374  \ref Preflow GoldbergTarjan's preflow pushrelabel algorithm. 375  \ref DinitzSleatorTarjan Dinitz's blocking flow algorithm with dynamic trees. 376  \ref GoldbergTarjan Preflow pushrelabel algorithm with dynamic trees. 377 378 In most cases the \ref Preflow "Preflow" algorithm provides the 375  \ref EdmondsKarp EdmondsKarp algorithm 376 \ref edmondskarp72theoretical. 377  \ref Preflow GoldbergTarjan's preflow pushrelabel algorithm 378 \ref goldberg88newapproach. 379  \ref DinitzSleatorTarjan Dinitz's blocking flow algorithm with dynamic trees 380 \ref dinic70algorithm, \ref sleator83dynamic. 381  \ref GoldbergTarjan !Preflow pushrelabel algorithm with dynamic trees 382 \ref goldberg88newapproach, \ref sleator83dynamic. 383 384 In most cases the \ref Preflow algorithm provides the 379 385 fastest method for computing a maximum flow. All implementations 380 386 also provide functions to query the minimum cut, which is the dual … … 394 400 395 401 This group contains the algorithms for finding minimum cost flows and 396 circulations. For more information about this problem and its dual 397 solution see \ref min_cost_flow "Minimum Cost Flow Problem". 402 circulations \ref amo93networkflows. For more information about this 403 problem and its dual solution, see \ref min_cost_flow 404 "Minimum Cost Flow Problem". 398 405 399 406 LEMON contains several algorithms for this problem. 400 407  \ref NetworkSimplex Primal Network Simplex algorithm with various 401 pivot strategies .408 pivot strategies \ref dantzig63linearprog, \ref kellyoneill91netsimplex. 402 409  \ref CostScaling PushRelabel and AugmentRelabel algorithms based on 403 cost scaling. 410 cost scaling \ref goldberg90approximation, \ref goldberg97efficient, 411 \ref bunnagel98efficient. 404 412  \ref CapacityScaling Successive Shortest %Path algorithm with optional 405 capacity scaling. 406  \ref CancelAndTighten The Cancel and Tighten algorithm. 407  \ref CycleCanceling CycleCanceling algorithms. 413 capacity scaling \ref edmondskarp72theoretical. 414  \ref CancelAndTighten The Cancel and Tighten algorithm 415 \ref goldberg89cyclecanceling. 416  \ref CycleCanceling CycleCanceling algorithms 417 \ref klein67primal, \ref goldberg89cyclecanceling. 408 418 409 419 In general NetworkSimplex is the most efficient implementation, … … 535 545 536 546 /** 537 @defgroup lp_group L p and MipSolvers547 @defgroup lp_group LP and MIP Solvers 538 548 @ingroup gen_opt_group 539 \brief Lp and Mip solver interfaces for LEMON. 540 541 This group contains Lp and Mip solver interfaces for LEMON. The 542 various LP solvers could be used in the same manner with this 543 interface. 549 \brief LP and MIP solver interfaces for LEMON. 550 551 This group contains LP and MIP solver interfaces for LEMON. 552 Various LP solvers could be used in the same manner with this 553 highlevel interface. 554 555 The currently supported solvers are \ref glpk, \ref clp, \ref cbc, 556 \ref cplex, \ref soplex. 544 557 */ 545 558
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