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Computing All-Pairs Shortest Paths by Leveraging Low Treewidth
Published on Jul 21, 20113358 Views
Considering directed graphs on n vertices and m edges with real (possibly negative) weights, we present two new, efficient algorithms for computing all-pairs shortest paths (APSP). These algorithms ma
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Computing All-Pairs Shortest Paths by Leveraging Low Treewidth00:00
Outline00:06
All-pairs shortest paths - 100:25
All-pairs shortest paths - 200:30
All-pairs shortest paths - 300:37
All-pairs shortest paths - 400:42
All-pairs shortest paths - 501:00
Motivation01:10
Simple Temporal Networks 01:28
Simple Temporal Networks Example - 101:44
Simple Temporal Networks Example - 201:58
Simple Temporal Networks Example - 302:16
Simple Temporal Networks Example - 402:18
Simple Temporal Networks Example - 502:22
Simple Temporal Networks Example - 602:24
Simple Temporal Networks Example - 702:28
Simple Temporal Networks Applications02:39
Algorithms for APSP - 103:03
Algorithms for APSP - 203:22
Other algorithms - 103:42
Other algorithms - 204:07
Outline - 204:40
Directed path consistency - 104:59
Directed path consistency - 205:36
Directed path consistency - 305:45
Directed path consistency - 405:54
Directed path consistency - 505:59
Directed path consistency - 606:19
Directed path consistency - 706:34
Directed path consistency - 806:42
Directed path consistency - 906:49
Directed path consistency - 1006:57
Directed path consistency - 1107:23
Directed path consistency - 1207:25
Directed path consistency - 1307:28
Directed path consistency - 1407:30
Directed path consistency - 1507:31
Directed path consistency - 1607:34
Directed path consistency - 1707:35
Directed path consistency - 1807:35
Directed path consistency - 1907:36
Directed path consistency - 2007:37
Directed path consistency - 2107:37
Directed path consistency - 2207:55
Directed path consistency - 2308:44
Directed path consistency - 2408:54
Directed path consistency - 2509:11
Directed path consistency - 2609:19
Directed path consistency - 2709:33
Directed path consistency - 2809:37
Directed path consistency - 2909:39
Directed path consistency - 3009:39
Directed path consistency - 3109:40
Directed path consistency - 3209:41
Directed path consistency - 3309:49
Snowball - 110:08
Snowball - 210:57
Snowball - 311:13
Snowball - 411:25
Snowball - 511:31
Snowball - 612:04
Snowball - 712:18
Snowball - 812:19
Snowball - 912:40
Snowball - 1012:41
Snowball - 1112:45
Snowball - 1212:47
Snowball - 1312:51
Snowball - 1414:00
Snowball - 1514:08
Snowball - 1614:09
Snowball - 1714:09
Snowball - 1814:10
Snowball - 1914:12
Empirical evaluation - 114:24
Empirical evaluation - 214:41
Empirical evaluation - 315:16
Empirical evaluation - 415:20
Empirical evaluation - 516:12
Empirical evaluation - 616:47
Empirical evaluation - 717:36
Empirical evaluation - 818:04
Conclusion18:33
Future work18:59