Optimum path packing on wheels: the noncrossing case
Abstract: "We show that, given a wheel with nonnegative edge lengths and pairs of terminals located on the wheel's outer cycle such that no two terminal pairs cross, then a path packing, i.e., a collection of edge disjoint paths connecting the given terminal pairs, of minimum length can be...
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
1993
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| Series: | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC
1993,26 |
| Subjects: | |
| Summary: | Abstract: "We show that, given a wheel with nonnegative edge lengths and pairs of terminals located on the wheel's outer cycle such that no two terminal pairs cross, then a path packing, i.e., a collection of edge disjoint paths connecting the given terminal pairs, of minimum length can be found in strongly polynomial time. Moreover, we exhibit for this case a system of linear inequalities that provides a complete and nonredundant description of the path packing polytope, which is the convex hull of all incidence vectors of path packings and their supersets." |
| Physical Description: | 20 S. graph. Darst. |
Staff View
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| 100 | 1 | |a Grötschel, Martin |d 1948- |e Verfasser |0 (DE-588)108975282 |4 aut | |
| 245 | 1 | 0 | |a Optimum path packing on wheels |b the noncrossing case |c Martin Grötschel ; Alexander Martin ; Robert Weismantel |
| 264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationstechnik |c 1993 | |
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| 490 | 1 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1993,26 | |
| 520 | 3 | |a Abstract: "We show that, given a wheel with nonnegative edge lengths and pairs of terminals located on the wheel's outer cycle such that no two terminal pairs cross, then a path packing, i.e., a collection of edge disjoint paths connecting the given terminal pairs, of minimum length can be found in strongly polynomial time. Moreover, we exhibit for this case a system of linear inequalities that provides a complete and nonredundant description of the path packing polytope, which is the convex hull of all incidence vectors of path packings and their supersets." | |
| 650 | 4 | |a Trees (Graph theory) | |
| 700 | 1 | |a Martin, Alexander |d 1965- |e Verfasser |0 (DE-588)1013264479 |4 aut | |
| 700 | 1 | |a Weismantel, Robert |e Verfasser |4 aut | |
| 830 | 0 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1993,26 |w (DE-604)BV004801715 |9 1993,26 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006050454 | ||
Record in the Search Index
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| author | Grötschel, Martin 1948- Martin, Alexander 1965- Weismantel, Robert |
| author_GND | (DE-588)108975282 (DE-588)1013264479 |
| author_facet | Grötschel, Martin 1948- Martin, Alexander 1965- Weismantel, Robert |
| author_role | aut aut aut |
| author_sort | Grötschel, Martin 1948- |
| author_variant | m g mg a m am r w rw |
| building | Verbundindex |
| bvnumber | BV009128063 |
| ctrlnum | (OCoLC)32525472 (DE-599)BVBBV009128063 |
| format | Book |
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| id | DE-604.BV009128063 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:31:27Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006050454 |
| oclc_num | 32525472 |
| open_access_boolean | |
| owner | DE-12 |
| owner_facet | DE-12 |
| physical | 20 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
| series2 | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
| spelling | Grötschel, Martin 1948- Verfasser (DE-588)108975282 aut Optimum path packing on wheels the noncrossing case Martin Grötschel ; Alexander Martin ; Robert Weismantel Berlin Konrad-Zuse-Zentrum für Informationstechnik 1993 20 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1993,26 Abstract: "We show that, given a wheel with nonnegative edge lengths and pairs of terminals located on the wheel's outer cycle such that no two terminal pairs cross, then a path packing, i.e., a collection of edge disjoint paths connecting the given terminal pairs, of minimum length can be found in strongly polynomial time. Moreover, we exhibit for this case a system of linear inequalities that provides a complete and nonredundant description of the path packing polytope, which is the convex hull of all incidence vectors of path packings and their supersets." Trees (Graph theory) Martin, Alexander 1965- Verfasser (DE-588)1013264479 aut Weismantel, Robert Verfasser aut Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1993,26 (DE-604)BV004801715 1993,26 |
| spellingShingle | Grötschel, Martin 1948- Martin, Alexander 1965- Weismantel, Robert Optimum path packing on wheels the noncrossing case Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC Trees (Graph theory) |
| title | Optimum path packing on wheels the noncrossing case |
| title_auth | Optimum path packing on wheels the noncrossing case |
| title_exact_search | Optimum path packing on wheels the noncrossing case |
| title_full | Optimum path packing on wheels the noncrossing case Martin Grötschel ; Alexander Martin ; Robert Weismantel |
| title_fullStr | Optimum path packing on wheels the noncrossing case Martin Grötschel ; Alexander Martin ; Robert Weismantel |
| title_full_unstemmed | Optimum path packing on wheels the noncrossing case Martin Grötschel ; Alexander Martin ; Robert Weismantel |
| title_short | Optimum path packing on wheels |
| title_sort | optimum path packing on wheels the noncrossing case |
| title_sub | the noncrossing case |
| topic | Trees (Graph theory) |
| topic_facet | Trees (Graph theory) |
| volume_link | (DE-604)BV004801715 |
| work_keys_str_mv | AT grotschelmartin optimumpathpackingonwheelsthenoncrossingcase AT martinalexander optimumpathpackingonwheelsthenoncrossingcase AT weismantelrobert optimumpathpackingonwheelsthenoncrossingcase |