Matches in SemOpenAlex for { <https://semopenalex.org/work/W2793680207> ?p ?o ?g. }
Showing items 1 to 81 of
81
with 100 items per page.
- W2793680207 abstract "We consider the Dominating Set (DS) problem on the intersection graphs of geometric objects. Surprisingly, for simple and widely used objects such as rectangles, the problem is NP-hard even when all the rectangles are at a line with slope -1. It is easy to see that for the anchored rectangles, the problem reduces to one with even simpler objects: L-frames. An L-frame is the union of a vertical and a horizontal segment that share one endpoint (corner of the L-frame). In light of the above discussion, we consider DS on the intersection graphs of L-frames. In this paper, we consider three restricted versions of the problem. First, we consider the version in which the corners of all input L-frames are anchored at a line with slope -1, and obtain a polynomial-time $(2+epsilon)$-approximation. Furthermore, we obtain a PTAS in case all the input L-frames are anchored at the diagonal from one side. Next, we consider the version, where all input L-frames intersect a vertical line, and prove APX-hardness of this version. Moreover, we prove NP-hardness of this version even in case the horizontal and vertical segments of each L-frame have the same length. Finally, we consider the version, where every L-frame intersects a vertical and a horizontal line, and show that this version is linear-time solvable. We also consider these versions of the problem in the so-called edge intersection model, and obtain several interesting results. One of the results is an NP-hardness proof of the third version which answers a question posed by Mehrabi (WAOA 2017)." @default.
- W2793680207 created "2018-03-29" @default.
- W2793680207 creator A5001388244 @default.
- W2793680207 creator A5044857258 @default.
- W2793680207 creator A5068339422 @default.
- W2793680207 creator A5072397842 @default.
- W2793680207 date "2018-03-16" @default.
- W2793680207 modified "2023-09-27" @default.
- W2793680207 title "Approximating Dominating Set on Intersection Graphs of L-frames." @default.
- W2793680207 hasPublicationYear "2018" @default.
- W2793680207 type Work @default.
- W2793680207 sameAs 2793680207 @default.
- W2793680207 citedByCount "0" @default.
- W2793680207 crossrefType "posted-content" @default.
- W2793680207 hasAuthorship W2793680207A5001388244 @default.
- W2793680207 hasAuthorship W2793680207A5044857258 @default.
- W2793680207 hasAuthorship W2793680207A5068339422 @default.
- W2793680207 hasAuthorship W2793680207A5072397842 @default.
- W2793680207 hasConcept C114614502 @default.
- W2793680207 hasConcept C118615104 @default.
- W2793680207 hasConcept C126042441 @default.
- W2793680207 hasConcept C127413603 @default.
- W2793680207 hasConcept C130367717 @default.
- W2793680207 hasConcept C146978453 @default.
- W2793680207 hasConcept C154945302 @default.
- W2793680207 hasConcept C162307627 @default.
- W2793680207 hasConcept C177264268 @default.
- W2793680207 hasConcept C17825722 @default.
- W2793680207 hasConcept C182124507 @default.
- W2793680207 hasConcept C198352243 @default.
- W2793680207 hasConcept C199360897 @default.
- W2793680207 hasConcept C2524010 @default.
- W2793680207 hasConcept C33923547 @default.
- W2793680207 hasConcept C41008148 @default.
- W2793680207 hasConcept C64543145 @default.
- W2793680207 hasConcept C76155785 @default.
- W2793680207 hasConceptScore W2793680207C114614502 @default.
- W2793680207 hasConceptScore W2793680207C118615104 @default.
- W2793680207 hasConceptScore W2793680207C126042441 @default.
- W2793680207 hasConceptScore W2793680207C127413603 @default.
- W2793680207 hasConceptScore W2793680207C130367717 @default.
- W2793680207 hasConceptScore W2793680207C146978453 @default.
- W2793680207 hasConceptScore W2793680207C154945302 @default.
- W2793680207 hasConceptScore W2793680207C162307627 @default.
- W2793680207 hasConceptScore W2793680207C177264268 @default.
- W2793680207 hasConceptScore W2793680207C17825722 @default.
- W2793680207 hasConceptScore W2793680207C182124507 @default.
- W2793680207 hasConceptScore W2793680207C198352243 @default.
- W2793680207 hasConceptScore W2793680207C199360897 @default.
- W2793680207 hasConceptScore W2793680207C2524010 @default.
- W2793680207 hasConceptScore W2793680207C33923547 @default.
- W2793680207 hasConceptScore W2793680207C41008148 @default.
- W2793680207 hasConceptScore W2793680207C64543145 @default.
- W2793680207 hasConceptScore W2793680207C76155785 @default.
- W2793680207 hasLocation W27936802071 @default.
- W2793680207 hasOpenAccess W2793680207 @default.
- W2793680207 hasPrimaryLocation W27936802071 @default.
- W2793680207 hasRelatedWork W1114040662 @default.
- W2793680207 hasRelatedWork W1757816407 @default.
- W2793680207 hasRelatedWork W1836123664 @default.
- W2793680207 hasRelatedWork W192134417 @default.
- W2793680207 hasRelatedWork W2016972645 @default.
- W2793680207 hasRelatedWork W2017060216 @default.
- W2793680207 hasRelatedWork W2032054765 @default.
- W2793680207 hasRelatedWork W2049234398 @default.
- W2793680207 hasRelatedWork W2110605075 @default.
- W2793680207 hasRelatedWork W2805283084 @default.
- W2793680207 hasRelatedWork W2906258635 @default.
- W2793680207 hasRelatedWork W2939766314 @default.
- W2793680207 hasRelatedWork W2942906518 @default.
- W2793680207 hasRelatedWork W2952929688 @default.
- W2793680207 hasRelatedWork W2955375576 @default.
- W2793680207 hasRelatedWork W2964622730 @default.
- W2793680207 hasRelatedWork W3092504989 @default.
- W2793680207 hasRelatedWork W3166185060 @default.
- W2793680207 hasRelatedWork W3194523972 @default.
- W2793680207 hasRelatedWork W71261456 @default.
- W2793680207 isParatext "false" @default.
- W2793680207 isRetracted "false" @default.
- W2793680207 magId "2793680207" @default.
- W2793680207 workType "article" @default.