Matches in SemOpenAlex for { <https://semopenalex.org/work/W1837134879> ?p ?o ?g. }
Showing items 1 to 94 of
94
with 100 items per page.
- W1837134879 endingPage "152" @default.
- W1837134879 startingPage "139" @default.
- W1837134879 abstract "In general dimension, there is no known total polynomial algorithm for either convex hull or vertex enumeration, i.e. an algorithm whose complexity depends polynomially on the input and output sizes. It is thus important to identify problems and polytope representations for which total polynomial-time algorithms can be obtained. We offer the first total polynomial-time algorithm for computing the edge-skeleton—including vertex enumeration—of a polytope given by an optimization or separation oracle, where we are also given a superset of its edge directions. We also offer a space-efficient variant of our algorithm by employing reverse search. All complexity bounds refer to the (oracle) Turing machine model. There is a number of polytope classes naturally defined by oracles; for some of them neither vertex nor facet representation is obvious. We consider two main applications, where we obtain (weakly) total polynomial-time algorithms: Signed Minkowski sums of convex polytopes, where polytopes can be subtracted provided the signed sum is a convex polytope, and computation of secondary, resultant, and discriminant polytopes. Further applications include convex combinatorial optimization and convex integer programming, where we offer a new approach, thus removing the complexity's exponential dependence in the dimension." @default.
- W1837134879 created "2016-06-24" @default.
- W1837134879 creator A5017124525 @default.
- W1837134879 creator A5080051337 @default.
- W1837134879 creator A5087662998 @default.
- W1837134879 date "2016-03-01" @default.
- W1837134879 modified "2023-09-30" @default.
- W1837134879 title "Efficient edge-skeleton computation for polytopes defined by oracles" @default.
- W1837134879 cites W1512237513 @default.
- W1837134879 cites W1973868432 @default.
- W1837134879 cites W1985065217 @default.
- W1837134879 cites W1987796198 @default.
- W1837134879 cites W1994268632 @default.
- W1837134879 cites W2001577580 @default.
- W1837134879 cites W2033700837 @default.
- W1837134879 cites W2033948588 @default.
- W1837134879 cites W2038549989 @default.
- W1837134879 cites W2064838814 @default.
- W1837134879 cites W2069899546 @default.
- W1837134879 cites W2076263225 @default.
- W1837134879 cites W2093463532 @default.
- W1837134879 cites W2102022978 @default.
- W1837134879 cites W2148642357 @default.
- W1837134879 cites W2218652040 @default.
- W1837134879 cites W2964260221 @default.
- W1837134879 cites W4234356172 @default.
- W1837134879 doi "https://doi.org/10.1016/j.jsc.2015.06.001" @default.
- W1837134879 hasPublicationYear "2016" @default.
- W1837134879 type Work @default.
- W1837134879 sameAs 1837134879 @default.
- W1837134879 citedByCount "4" @default.
- W1837134879 countsByYear W18371348792015 @default.
- W1837134879 countsByYear W18371348792016 @default.
- W1837134879 countsByYear W18371348792017 @default.
- W1837134879 crossrefType "journal-article" @default.
- W1837134879 hasAuthorship W1837134879A5017124525 @default.
- W1837134879 hasAuthorship W1837134879A5080051337 @default.
- W1837134879 hasAuthorship W1837134879A5087662998 @default.
- W1837134879 hasBestOaLocation W18371348791 @default.
- W1837134879 hasConcept C10233890 @default.
- W1837134879 hasConcept C110943637 @default.
- W1837134879 hasConcept C112680207 @default.
- W1837134879 hasConcept C114614502 @default.
- W1837134879 hasConcept C118615104 @default.
- W1837134879 hasConcept C12108790 @default.
- W1837134879 hasConcept C132525143 @default.
- W1837134879 hasConcept C145691206 @default.
- W1837134879 hasConcept C157972887 @default.
- W1837134879 hasConcept C174248988 @default.
- W1837134879 hasConcept C206194317 @default.
- W1837134879 hasConcept C2524010 @default.
- W1837134879 hasConcept C311688 @default.
- W1837134879 hasConcept C33923547 @default.
- W1837134879 hasConcept C49870271 @default.
- W1837134879 hasConcept C80899671 @default.
- W1837134879 hasConceptScore W1837134879C10233890 @default.
- W1837134879 hasConceptScore W1837134879C110943637 @default.
- W1837134879 hasConceptScore W1837134879C112680207 @default.
- W1837134879 hasConceptScore W1837134879C114614502 @default.
- W1837134879 hasConceptScore W1837134879C118615104 @default.
- W1837134879 hasConceptScore W1837134879C12108790 @default.
- W1837134879 hasConceptScore W1837134879C132525143 @default.
- W1837134879 hasConceptScore W1837134879C145691206 @default.
- W1837134879 hasConceptScore W1837134879C157972887 @default.
- W1837134879 hasConceptScore W1837134879C174248988 @default.
- W1837134879 hasConceptScore W1837134879C206194317 @default.
- W1837134879 hasConceptScore W1837134879C2524010 @default.
- W1837134879 hasConceptScore W1837134879C311688 @default.
- W1837134879 hasConceptScore W1837134879C33923547 @default.
- W1837134879 hasConceptScore W1837134879C49870271 @default.
- W1837134879 hasConceptScore W1837134879C80899671 @default.
- W1837134879 hasFunder F4320320300 @default.
- W1837134879 hasFunder F4320338080 @default.
- W1837134879 hasLocation W18371348791 @default.
- W1837134879 hasLocation W18371348792 @default.
- W1837134879 hasOpenAccess W1837134879 @default.
- W1837134879 hasPrimaryLocation W18371348791 @default.
- W1837134879 hasRelatedWork W1837134879 @default.
- W1837134879 hasRelatedWork W2027012440 @default.
- W1837134879 hasRelatedWork W2091981456 @default.
- W1837134879 hasRelatedWork W2237223497 @default.
- W1837134879 hasRelatedWork W2494974567 @default.
- W1837134879 hasRelatedWork W2953085781 @default.
- W1837134879 hasRelatedWork W3125627368 @default.
- W1837134879 hasRelatedWork W4301600724 @default.
- W1837134879 hasRelatedWork W4302405133 @default.
- W1837134879 hasRelatedWork W4298021137 @default.
- W1837134879 hasVolume "73" @default.
- W1837134879 isParatext "false" @default.
- W1837134879 isRetracted "false" @default.
- W1837134879 magId "1837134879" @default.
- W1837134879 workType "article" @default.