The complexity of pursuit on a graph:
Abstract: "A robber and k cops choose starting vertices in a graph and move in alternation from vertex to vertex along the edges of the graph; capture occurs if a cop ever shares a vertex with the robber. We give an algorithm to determine if k cops are sufficient to ensure capture on a given gr...
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Urbana, Ill.
University of Illinois at Urbana-Champaign, Dept. of Computer Science
1992
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| Subjects: | |
| Summary: | Abstract: "A robber and k cops choose starting vertices in a graph and move in alternation from vertex to vertex along the edges of the graph; capture occurs if a cop ever shares a vertex with the robber. We give an algorithm to determine if k cops are sufficient to ensure capture on a given graph. The algorithm is polynomial-time if k is fixed. If k is not fixed and the graph is directed or initial positions are given, we show that the problem is EXPTIME-complete. Similar techniques lead to the PSPACE- and EXPTIME-completeness of some other combinatorial games that were previously only known to be NP- and PSPACE-hard." |
| Physical Description: | 22 p. ill. 28 cm |
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| 100 | 1 | |a Goldstein, Arthur S. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The complexity of pursuit on a graph |c by Arthur Goldstein, Edward Reingold |
| 246 | 1 | 3 | |a UIUCDCS R 92-1754 |
| 264 | 1 | |a Urbana, Ill. |b University of Illinois at Urbana-Champaign, Dept. of Computer Science |c 1992 | |
| 300 | |a 22 p. |b ill. |c 28 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 520 | |a Abstract: "A robber and k cops choose starting vertices in a graph and move in alternation from vertex to vertex along the edges of the graph; capture occurs if a cop ever shares a vertex with the robber. We give an algorithm to determine if k cops are sufficient to ensure capture on a given graph. The algorithm is polynomial-time if k is fixed. If k is not fixed and the graph is directed or initial positions are given, we show that the problem is EXPTIME-complete. Similar techniques lead to the PSPACE- and EXPTIME-completeness of some other combinatorial games that were previously only known to be NP- and PSPACE-hard." | ||
| 650 | 4 | |a Algorithms | |
| 650 | 4 | |a Computational complexity | |
| 650 | 4 | |a Combinatorial optimization | |
| 650 | 4 | |a Algorithms | |
| 650 | 4 | |a Combinatorial optimization | |
| 650 | 4 | |a Computational complexity | |
| 700 | 1 | |a Reingold, Edward M. |e Sonstige |4 oth | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-017693114 | ||
Record in the Search Index
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|---|---|
| any_adam_object | |
| author | Goldstein, Arthur S. |
| author_facet | Goldstein, Arthur S. |
| author_role | aut |
| author_sort | Goldstein, Arthur S. |
| author_variant | a s g as asg |
| building | Verbundindex |
| bvnumber | BV035638279 |
| ctrlnum | (OCoLC)26366968 (DE-599)BVBBV035638279 |
| dewey-full | 510.78 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510.78 |
| dewey-search | 510.78 |
| dewey-sort | 3510.78 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV035638279 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:42:10Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017693114 |
| oclc_num | 26366968 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | 22 p. ill. 28 cm |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | University of Illinois at Urbana-Champaign, Dept. of Computer Science |
| record_format | marc |
| spelling | Goldstein, Arthur S. Verfasser aut The complexity of pursuit on a graph by Arthur Goldstein, Edward Reingold UIUCDCS R 92-1754 Urbana, Ill. University of Illinois at Urbana-Champaign, Dept. of Computer Science 1992 22 p. ill. 28 cm txt rdacontent n rdamedia nc rdacarrier Abstract: "A robber and k cops choose starting vertices in a graph and move in alternation from vertex to vertex along the edges of the graph; capture occurs if a cop ever shares a vertex with the robber. We give an algorithm to determine if k cops are sufficient to ensure capture on a given graph. The algorithm is polynomial-time if k is fixed. If k is not fixed and the graph is directed or initial positions are given, we show that the problem is EXPTIME-complete. Similar techniques lead to the PSPACE- and EXPTIME-completeness of some other combinatorial games that were previously only known to be NP- and PSPACE-hard." Algorithms Computational complexity Combinatorial optimization Reingold, Edward M. Sonstige oth |
| spellingShingle | Goldstein, Arthur S. The complexity of pursuit on a graph Algorithms Computational complexity Combinatorial optimization |
| title | The complexity of pursuit on a graph |
| title_alt | UIUCDCS R 92-1754 |
| title_auth | The complexity of pursuit on a graph |
| title_exact_search | The complexity of pursuit on a graph |
| title_full | The complexity of pursuit on a graph by Arthur Goldstein, Edward Reingold |
| title_fullStr | The complexity of pursuit on a graph by Arthur Goldstein, Edward Reingold |
| title_full_unstemmed | The complexity of pursuit on a graph by Arthur Goldstein, Edward Reingold |
| title_short | The complexity of pursuit on a graph |
| title_sort | the complexity of pursuit on a graph |
| topic | Algorithms Computational complexity Combinatorial optimization |
| topic_facet | Algorithms Computational complexity Combinatorial optimization |
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