Dynamic and sensitivity algorithms for all shortest paths:
Abstract: "We consider two different approaches to the problem of edge deletion in a graph after computation of all shortest paths -- Dynamization and Sensitivity. First we review the fastest dynamic algorithms to maintain all shortest paths after edge deletion. The algorithms are more efficien...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
København
1996
|
| Schriftenreihe: | Datalogisk Institut <København>: DIKU-Rapport
1996,2 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "We consider two different approaches to the problem of edge deletion in a graph after computation of all shortest paths -- Dynamization and Sensitivity. First we review the fastest dynamic algorithms to maintain all shortest paths after edge deletion. The algorithms are more efficient than re-computation from scratch but still has [sic] a high time complexity which is the motivation for a new kind of sensitivity algorithm. We show how to prepare the graph for two kinds of questions which both will be answered in time linear to the size of output. Question 1: given an edge, find all node pairs (x, y) for which the shortest path from x to y increases if the edge is deleted. Question 2: given a node pair (x, y), find those edges which if removed increases the cost of the path from x to y. The preparation of the graph is optimal and faster than computation of all shortest paths and does not require additional space." |
| Beschreibung: | 7 S. |
Internformat
MARC
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| 100 | 1 | |a Alstrup, Stephen |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Dynamic and sensitivity algorithms for all shortest paths |c Stephen Alstrup og Peter W. Laudridsen |
| 264 | 1 | |a København |c 1996 | |
| 300 | |a 7 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Datalogisk Institut <København>: DIKU-Rapport |v 1996,2 | |
| 520 | 3 | |a Abstract: "We consider two different approaches to the problem of edge deletion in a graph after computation of all shortest paths -- Dynamization and Sensitivity. First we review the fastest dynamic algorithms to maintain all shortest paths after edge deletion. The algorithms are more efficient than re-computation from scratch but still has [sic] a high time complexity which is the motivation for a new kind of sensitivity algorithm. We show how to prepare the graph for two kinds of questions which both will be answered in time linear to the size of output. Question 1: given an edge, find all node pairs (x, y) for which the shortest path from x to y increases if the edge is deleted. Question 2: given a node pair (x, y), find those edges which if removed increases the cost of the path from x to y. The preparation of the graph is optimal and faster than computation of all shortest paths and does not require additional space." | |
| 650 | 4 | |a Computational complexity | |
| 650 | 4 | |a Computer algorithms | |
| 650 | 4 | |a Paths and cycles (Graph theory) | |
| 700 | 1 | |a Lauridsen, Peter W. |e Verfasser |4 aut | |
| 830 | 0 | |a Datalogisk Institut <København>: DIKU-Rapport |v 1996,2 |w (DE-604)BV010011493 |9 1996,2 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-007397426 | ||
Datensatz im Suchindex
| _version_ | 1804125536285360128 |
|---|---|
| any_adam_object | |
| author | Alstrup, Stephen Lauridsen, Peter W. |
| author_facet | Alstrup, Stephen Lauridsen, Peter W. |
| author_role | aut aut |
| author_sort | Alstrup, Stephen |
| author_variant | s a sa p w l pw pwl |
| building | Verbundindex |
| bvnumber | BV011046497 |
| ctrlnum | (OCoLC)38525436 (DE-599)BVBBV011046497 |
| format | Book |
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| id | DE-604.BV011046497 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:03:07Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007397426 |
| oclc_num | 38525436 |
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| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | 7 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| record_format | marc |
| series | Datalogisk Institut <København>: DIKU-Rapport |
| series2 | Datalogisk Institut <København>: DIKU-Rapport |
| spelling | Alstrup, Stephen Verfasser aut Dynamic and sensitivity algorithms for all shortest paths Stephen Alstrup og Peter W. Laudridsen København 1996 7 S. txt rdacontent n rdamedia nc rdacarrier Datalogisk Institut <København>: DIKU-Rapport 1996,2 Abstract: "We consider two different approaches to the problem of edge deletion in a graph after computation of all shortest paths -- Dynamization and Sensitivity. First we review the fastest dynamic algorithms to maintain all shortest paths after edge deletion. The algorithms are more efficient than re-computation from scratch but still has [sic] a high time complexity which is the motivation for a new kind of sensitivity algorithm. We show how to prepare the graph for two kinds of questions which both will be answered in time linear to the size of output. Question 1: given an edge, find all node pairs (x, y) for which the shortest path from x to y increases if the edge is deleted. Question 2: given a node pair (x, y), find those edges which if removed increases the cost of the path from x to y. The preparation of the graph is optimal and faster than computation of all shortest paths and does not require additional space." Computational complexity Computer algorithms Paths and cycles (Graph theory) Lauridsen, Peter W. Verfasser aut Datalogisk Institut <København>: DIKU-Rapport 1996,2 (DE-604)BV010011493 1996,2 |
| spellingShingle | Alstrup, Stephen Lauridsen, Peter W. Dynamic and sensitivity algorithms for all shortest paths Datalogisk Institut <København>: DIKU-Rapport Computational complexity Computer algorithms Paths and cycles (Graph theory) |
| title | Dynamic and sensitivity algorithms for all shortest paths |
| title_auth | Dynamic and sensitivity algorithms for all shortest paths |
| title_exact_search | Dynamic and sensitivity algorithms for all shortest paths |
| title_full | Dynamic and sensitivity algorithms for all shortest paths Stephen Alstrup og Peter W. Laudridsen |
| title_fullStr | Dynamic and sensitivity algorithms for all shortest paths Stephen Alstrup og Peter W. Laudridsen |
| title_full_unstemmed | Dynamic and sensitivity algorithms for all shortest paths Stephen Alstrup og Peter W. Laudridsen |
| title_short | Dynamic and sensitivity algorithms for all shortest paths |
| title_sort | dynamic and sensitivity algorithms for all shortest paths |
| topic | Computational complexity Computer algorithms Paths and cycles (Graph theory) |
| topic_facet | Computational complexity Computer algorithms Paths and cycles (Graph theory) |
| volume_link | (DE-604)BV010011493 |
| work_keys_str_mv | AT alstrupstephen dynamicandsensitivityalgorithmsforallshortestpaths AT lauridsenpeterw dynamicandsensitivityalgorithmsforallshortestpaths |