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Article: Edge guards for the fortress problem
Title | Edge guards for the fortress problem |
---|---|
Authors | |
Keywords | Computational Geometry Edge Guard Fortress Problem |
Issue Date | 2001 |
Publisher | Birkhaeuser Verlag AG. The Journal's web site is located at http://link.springer.de/link/service/journals/00022/index.htm |
Citation | Journal Of Geometry, 2001, v. 72 n. 1-2, p. 47-64 How to Cite? |
Abstract | The fortress problem is one of determining a set of guards to cover the exterior of a simple polygon. O'Rourke and Wood [cited in 7] showed that [n/2] vertex guards are sometimes necessary and always sufficient for an n-vertex polygon. In this paper, we solve the same problem for edge guards. Tight bounds of [n/3] and [n/4] + 1 edge guards are obtained for general and rectilinear polygons, respectively. © Birkhäuser Verlag, Basel, 2001. |
Persistent Identifier | http://hdl.handle.net/10722/152400 |
ISSN | 2023 Impact Factor: 0.7 2023 SCImago Journal Rankings: 0.324 |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, AKO | en_US |
dc.contributor.author | Yiu, SM | en_US |
dc.date.accessioned | 2012-06-26T06:38:05Z | - |
dc.date.available | 2012-06-26T06:38:05Z | - |
dc.date.issued | 2001 | en_US |
dc.identifier.citation | Journal Of Geometry, 2001, v. 72 n. 1-2, p. 47-64 | en_US |
dc.identifier.issn | 0047-2468 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/152400 | - |
dc.description.abstract | The fortress problem is one of determining a set of guards to cover the exterior of a simple polygon. O'Rourke and Wood [cited in 7] showed that [n/2] vertex guards are sometimes necessary and always sufficient for an n-vertex polygon. In this paper, we solve the same problem for edge guards. Tight bounds of [n/3] and [n/4] + 1 edge guards are obtained for general and rectilinear polygons, respectively. © Birkhäuser Verlag, Basel, 2001. | en_US |
dc.language | eng | en_US |
dc.publisher | Birkhaeuser Verlag AG. The Journal's web site is located at http://link.springer.de/link/service/journals/00022/index.htm | en_US |
dc.relation.ispartof | Journal of Geometry | en_US |
dc.subject | Computational Geometry | en_US |
dc.subject | Edge Guard | en_US |
dc.subject | Fortress Problem | en_US |
dc.title | Edge guards for the fortress problem | en_US |
dc.type | Article | en_US |
dc.identifier.email | Yiu, SM:smyiu@cs.hku.hk | en_US |
dc.identifier.authority | Yiu, SM=rp00207 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.scopus | eid_2-s2.0-50049121362 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-50049121362&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 72 | en_US |
dc.identifier.issue | 1-2 | en_US |
dc.identifier.spage | 47 | en_US |
dc.identifier.epage | 64 | en_US |
dc.publisher.place | Switzerland | en_US |
dc.identifier.scopusauthorid | Choi, AKO=25025995100 | en_US |
dc.identifier.scopusauthorid | Yiu, SM=7003282240 | en_US |
dc.identifier.issnl | 0047-2468 | - |