Matches in SemOpenAlex for { <https://semopenalex.org/work/W2952301330> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W2952301330 abstract "We consider very natural fence enclosure problems studied by Capoyleas, Rote, and Woeginger and Arkin, Khuller, and Mitchell in the early 90s. Given a set $S$ of $n$ points in the plane, we aim at finding a set of closed curves such that (1) each point is enclosed by a curve and (2) the total length of the curves is minimized. We consider two main variants. In the first variant, we pay a unit cost per curve in addition to the total length of the curves. An equivalent formulation of this version is that we have to enclose $n$ unit disks, paying only the total length of the enclosing curves. In the other variant, we are allowed to use at most $k$ closed curves and pay no cost per curve. For the variant with at most $k$ closed curves, we present an algorithm that is polynomial in both $n$ and $k$. For the variant with unit cost per curve, or unit disks, we present a near-linear time algorithm. Capoyleas, Rote, and Woeginger solved the problem with at most $k$ curves in $n^{O(k)}$ time. Arkin, Khuller, and Mitchell used this to solve the unit cost per curve version in exponential time. At the time, they conjectured that the problem with $k$ curves is NP-hard for general $k$. Our polynomial time algorithm refutes this unless P equals NP." @default.
- W2952301330 created "2019-06-27" @default.
- W2952301330 creator A5004695759 @default.
- W2952301330 creator A5017343893 @default.
- W2952301330 creator A5025874928 @default.
- W2952301330 creator A5039232562 @default.
- W2952301330 creator A5044394587 @default.
- W2952301330 creator A5050123676 @default.
- W2952301330 creator A5062766785 @default.
- W2952301330 creator A5074251728 @default.
- W2952301330 date "2018-03-31" @default.
- W2952301330 modified "2023-09-30" @default.
- W2952301330 title "Fast Fencing." @default.
- W2952301330 cites W1485908477 @default.
- W2952301330 cites W1501813877 @default.
- W2952301330 cites W1750218967 @default.
- W2952301330 cites W180909918 @default.
- W2952301330 cites W1971135470 @default.
- W2952301330 cites W1975461956 @default.
- W2952301330 cites W2008581147 @default.
- W2952301330 cites W2040008390 @default.
- W2952301330 cites W2056501879 @default.
- W2952301330 cites W2161779238 @default.
- W2952301330 cites W2911910046 @default.
- W2952301330 hasPublicationYear "2018" @default.
- W2952301330 type Work @default.
- W2952301330 sameAs 2952301330 @default.
- W2952301330 citedByCount "0" @default.
- W2952301330 crossrefType "posted-content" @default.
- W2952301330 hasAuthorship W2952301330A5004695759 @default.
- W2952301330 hasAuthorship W2952301330A5017343893 @default.
- W2952301330 hasAuthorship W2952301330A5025874928 @default.
- W2952301330 hasAuthorship W2952301330A5039232562 @default.
- W2952301330 hasAuthorship W2952301330A5044394587 @default.
- W2952301330 hasAuthorship W2952301330A5050123676 @default.
- W2952301330 hasAuthorship W2952301330A5062766785 @default.
- W2952301330 hasAuthorship W2952301330A5074251728 @default.
- W2952301330 hasConcept C114614502 @default.
- W2952301330 hasConcept C122637931 @default.
- W2952301330 hasConcept C134306372 @default.
- W2952301330 hasConcept C145420912 @default.
- W2952301330 hasConcept C151376022 @default.
- W2952301330 hasConcept C177264268 @default.
- W2952301330 hasConcept C199360897 @default.
- W2952301330 hasConcept C2524010 @default.
- W2952301330 hasConcept C311688 @default.
- W2952301330 hasConcept C33923547 @default.
- W2952301330 hasConcept C41008148 @default.
- W2952301330 hasConcept C43809302 @default.
- W2952301330 hasConcept C90119067 @default.
- W2952301330 hasConceptScore W2952301330C114614502 @default.
- W2952301330 hasConceptScore W2952301330C122637931 @default.
- W2952301330 hasConceptScore W2952301330C134306372 @default.
- W2952301330 hasConceptScore W2952301330C145420912 @default.
- W2952301330 hasConceptScore W2952301330C151376022 @default.
- W2952301330 hasConceptScore W2952301330C177264268 @default.
- W2952301330 hasConceptScore W2952301330C199360897 @default.
- W2952301330 hasConceptScore W2952301330C2524010 @default.
- W2952301330 hasConceptScore W2952301330C311688 @default.
- W2952301330 hasConceptScore W2952301330C33923547 @default.
- W2952301330 hasConceptScore W2952301330C41008148 @default.
- W2952301330 hasConceptScore W2952301330C43809302 @default.
- W2952301330 hasConceptScore W2952301330C90119067 @default.
- W2952301330 hasLocation W29523013301 @default.
- W2952301330 hasOpenAccess W2952301330 @default.
- W2952301330 hasPrimaryLocation W29523013301 @default.
- W2952301330 hasRelatedWork W1554879550 @default.
- W2952301330 hasRelatedWork W1567158140 @default.
- W2952301330 hasRelatedWork W1575098190 @default.
- W2952301330 hasRelatedWork W2073116298 @default.
- W2952301330 hasRelatedWork W2118226403 @default.
- W2952301330 hasRelatedWork W2151221919 @default.
- W2952301330 hasRelatedWork W2152945696 @default.
- W2952301330 hasRelatedWork W2154260184 @default.
- W2952301330 hasRelatedWork W2241912687 @default.
- W2952301330 hasRelatedWork W2308935723 @default.
- W2952301330 hasRelatedWork W2762439698 @default.
- W2952301330 hasRelatedWork W2795402084 @default.
- W2952301330 hasRelatedWork W2799440965 @default.
- W2952301330 hasRelatedWork W2912574978 @default.
- W2952301330 hasRelatedWork W2951750965 @default.
- W2952301330 hasRelatedWork W2964306350 @default.
- W2952301330 hasRelatedWork W3037127288 @default.
- W2952301330 hasRelatedWork W3082671454 @default.
- W2952301330 hasRelatedWork W3159910038 @default.
- W2952301330 hasRelatedWork W3202117400 @default.
- W2952301330 isParatext "false" @default.
- W2952301330 isRetracted "false" @default.
- W2952301330 magId "2952301330" @default.
- W2952301330 workType "article" @default.