Matches in SemOpenAlex for { <https://semopenalex.org/work/W2082176459> ?p ?o ?g. }
- W2082176459 endingPage "1049" @default.
- W2082176459 startingPage "1028" @default.
- W2082176459 abstract "In this paper, we reduce Prize-Collecting Steiner TSP (PCTSP), Prize-Collecting Stroll (PCS), Prize-Collecting Steiner Tree (PCST), Prize-Collecting Steiner Forest (PCSF), and more generally Submodular Prize-Collecting Steiner Forest (SPCSF), on planar graphs (and also on bounded-genus graphs) to the corresponding problem on graphs of bounded treewidth. More precisely, for each of the mentioned problems, an α-approximation algorithm for the problem on graphs of bounded treewidth implies an (α + ∈)-approximation algorithm for the problem on planar graphs (and also bounded-genus graphs), for any constant ∈ > 0. PCS, PCTSP, and PCST can be solved exactly on graphs of bounded treewidth and hence we obtain a PTAS for these problems on planar graphs and bounded-genus graphs. In contrast, we show that PCSF is APX-hard to approximate on series-parallel graphs, which are planar graphs of treewidth at most 2. Apart from ruling out a PTAS for PCSF on planar graphs and bounded treewidth graphs, this result is also interesting since it gives the first provable hardness separation between the approximability of a problem and its prize-collecting version. We also show that PCSF is APX-hard on Euclidean instances." @default.
- W2082176459 created "2016-06-24" @default.
- W2082176459 creator A5009276272 @default.
- W2082176459 creator A5012849997 @default.
- W2082176459 creator A5025907388 @default.
- W2082176459 creator A5036503505 @default.
- W2082176459 creator A5076091318 @default.
- W2082176459 creator A5084358000 @default.
- W2082176459 date "2011-01-23" @default.
- W2082176459 modified "2023-09-28" @default.
- W2082176459 title "Prize-collecting Steiner problems on planar graphs" @default.
- W2082176459 cites W1522210445 @default.
- W2082176459 cites W1596429033 @default.
- W2082176459 cites W1627971329 @default.
- W2082176459 cites W179577048 @default.
- W2082176459 cites W1965737603 @default.
- W2082176459 cites W1971222832 @default.
- W2082176459 cites W1974542877 @default.
- W2082176459 cites W1982089707 @default.
- W2082176459 cites W1985123706 @default.
- W2082176459 cites W1986056047 @default.
- W2082176459 cites W1991055327 @default.
- W2082176459 cites W1995473411 @default.
- W2082176459 cites W2001139415 @default.
- W2082176459 cites W2009279347 @default.
- W2082176459 cites W2011823863 @default.
- W2082176459 cites W2012391569 @default.
- W2082176459 cites W2012511041 @default.
- W2082176459 cites W2013576079 @default.
- W2082176459 cites W2020112047 @default.
- W2082176459 cites W2021180976 @default.
- W2082176459 cites W2029448190 @default.
- W2082176459 cites W2030458698 @default.
- W2082176459 cites W2038190710 @default.
- W2082176459 cites W2043905543 @default.
- W2082176459 cites W2044119054 @default.
- W2082176459 cites W2047861451 @default.
- W2082176459 cites W2059707428 @default.
- W2082176459 cites W2062254875 @default.
- W2082176459 cites W2065166038 @default.
- W2082176459 cites W2108770488 @default.
- W2082176459 cites W2112638680 @default.
- W2082176459 cites W2115556222 @default.
- W2082176459 cites W2117226423 @default.
- W2082176459 cites W2123087902 @default.
- W2082176459 cites W2128059732 @default.
- W2082176459 cites W2132169470 @default.
- W2082176459 cites W2139841919 @default.
- W2082176459 cites W2140071288 @default.
- W2082176459 cites W2142607374 @default.
- W2082176459 cites W2147954430 @default.
- W2082176459 cites W2156760067 @default.
- W2082176459 cites W2158591664 @default.
- W2082176459 cites W2162750432 @default.
- W2082176459 cites W2167294598 @default.
- W2082176459 cites W2492923247 @default.
- W2082176459 cites W2767048380 @default.
- W2082176459 cites W594463866 @default.
- W2082176459 cites W2113939799 @default.
- W2082176459 doi "https://doi.org/10.5555/2133036.2133115" @default.
- W2082176459 hasPublicationYear "2011" @default.
- W2082176459 type Work @default.
- W2082176459 sameAs 2082176459 @default.
- W2082176459 citedByCount "18" @default.
- W2082176459 countsByYear W20821764592013 @default.
- W2082176459 countsByYear W20821764592014 @default.
- W2082176459 countsByYear W20821764592015 @default.
- W2082176459 countsByYear W20821764592017 @default.
- W2082176459 countsByYear W20821764592018 @default.
- W2082176459 countsByYear W20821764592019 @default.
- W2082176459 countsByYear W20821764592021 @default.
- W2082176459 countsByYear W20821764592022 @default.
- W2082176459 crossrefType "proceedings-article" @default.
- W2082176459 hasAuthorship W2082176459A5009276272 @default.
- W2082176459 hasAuthorship W2082176459A5012849997 @default.
- W2082176459 hasAuthorship W2082176459A5025907388 @default.
- W2082176459 hasAuthorship W2082176459A5036503505 @default.
- W2082176459 hasAuthorship W2082176459A5076091318 @default.
- W2082176459 hasAuthorship W2082176459A5084358000 @default.
- W2082176459 hasConcept C101837359 @default.
- W2082176459 hasConcept C102192266 @default.
- W2082176459 hasConcept C114614502 @default.
- W2082176459 hasConcept C118615104 @default.
- W2082176459 hasConcept C128764233 @default.
- W2082176459 hasConcept C132525143 @default.
- W2082176459 hasConcept C132569581 @default.
- W2082176459 hasConcept C134306372 @default.
- W2082176459 hasConcept C160446614 @default.
- W2082176459 hasConcept C186942658 @default.
- W2082176459 hasConcept C203776342 @default.
- W2082176459 hasConcept C33923547 @default.
- W2082176459 hasConcept C34388435 @default.
- W2082176459 hasConcept C43517604 @default.
- W2082176459 hasConcept C69284658 @default.
- W2082176459 hasConcept C74133993 @default.
- W2082176459 hasConcept C76220878 @default.
- W2082176459 hasConceptScore W2082176459C101837359 @default.
- W2082176459 hasConceptScore W2082176459C102192266 @default.