Matches in SemOpenAlex for { <https://semopenalex.org/work/W2268940306> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W2268940306 endingPage "6" @default.
- W2268940306 startingPage "1" @default.
- W2268940306 abstract "Let P1;:::;Pd+1 R d be d-dimensional point sets such that the convex hull of each Pi contains the origin. We call the sets Pi color classes, and we think of the points in Pi as having color i. A colorful choice is a set with at most one point from each color class. The colorful Caratheodory theorem guarantees the existence of a colorful choice whose convex hull contains the origin. So far, the computational complexity of finding such a colorful choice is unknown. An m-colorful choice is a set that contains at most m points from each color class. We present an approximation algorithm that computes for any constant > 0, an d(d + 1)e-colorful choice containing the origin in its convex hull in polynomial time. This notion of approximation has not been studied before, and it is motivated through the applications of the colorful Caratheodory theorem in the literature. Second, we show that the exact problem can be solved in d O(log d) time if ( d 2 logd) color classes are available, improving over the trivial d O(d) time algorithm." @default.
- W2268940306 created "2016-06-24" @default.
- W2268940306 creator A5012277174 @default.
- W2268940306 creator A5090438334 @default.
- W2268940306 date "2014-11-13" @default.
- W2268940306 modified "2023-09-26" @default.
- W2268940306 title "Approximating the Colorful Caratheodory Theorem" @default.
- W2268940306 cites W1498985436 @default.
- W2268940306 cites W1893148898 @default.
- W2268940306 cites W1984879308 @default.
- W2268940306 cites W1994709142 @default.
- W2268940306 cites W2004331157 @default.
- W2268940306 cites W2042903885 @default.
- W2268940306 cites W2103981148 @default.
- W2268940306 cites W2167816765 @default.
- W2268940306 cites W2169359757 @default.
- W2268940306 cites W2215397208 @default.
- W2268940306 cites W2313070284 @default.
- W2268940306 hasPublicationYear "2014" @default.
- W2268940306 type Work @default.
- W2268940306 sameAs 2268940306 @default.
- W2268940306 citedByCount "0" @default.
- W2268940306 crossrefType "journal-article" @default.
- W2268940306 hasAuthorship W2268940306A5012277174 @default.
- W2268940306 hasAuthorship W2268940306A5090438334 @default.
- W2268940306 hasConcept C112680207 @default.
- W2268940306 hasConcept C114614502 @default.
- W2268940306 hasConcept C118615104 @default.
- W2268940306 hasConcept C154945302 @default.
- W2268940306 hasConcept C177264268 @default.
- W2268940306 hasConcept C199360897 @default.
- W2268940306 hasConcept C206194317 @default.
- W2268940306 hasConcept C2524010 @default.
- W2268940306 hasConcept C2777212361 @default.
- W2268940306 hasConcept C28719098 @default.
- W2268940306 hasConcept C311688 @default.
- W2268940306 hasConcept C33923547 @default.
- W2268940306 hasConcept C41008148 @default.
- W2268940306 hasConceptScore W2268940306C112680207 @default.
- W2268940306 hasConceptScore W2268940306C114614502 @default.
- W2268940306 hasConceptScore W2268940306C118615104 @default.
- W2268940306 hasConceptScore W2268940306C154945302 @default.
- W2268940306 hasConceptScore W2268940306C177264268 @default.
- W2268940306 hasConceptScore W2268940306C199360897 @default.
- W2268940306 hasConceptScore W2268940306C206194317 @default.
- W2268940306 hasConceptScore W2268940306C2524010 @default.
- W2268940306 hasConceptScore W2268940306C2777212361 @default.
- W2268940306 hasConceptScore W2268940306C28719098 @default.
- W2268940306 hasConceptScore W2268940306C311688 @default.
- W2268940306 hasConceptScore W2268940306C33923547 @default.
- W2268940306 hasConceptScore W2268940306C41008148 @default.
- W2268940306 hasIssue "28" @default.
- W2268940306 hasLocation W22689403061 @default.
- W2268940306 hasOpenAccess W2268940306 @default.
- W2268940306 hasPrimaryLocation W22689403061 @default.
- W2268940306 hasRelatedWork W133035569 @default.
- W2268940306 hasRelatedWork W1680418237 @default.
- W2268940306 hasRelatedWork W1689345 @default.
- W2268940306 hasRelatedWork W1859724989 @default.
- W2268940306 hasRelatedWork W2004018937 @default.
- W2268940306 hasRelatedWork W2087007142 @default.
- W2268940306 hasRelatedWork W2232820891 @default.
- W2268940306 hasRelatedWork W2411328740 @default.
- W2268940306 hasRelatedWork W2466637047 @default.
- W2268940306 hasRelatedWork W2567222247 @default.
- W2268940306 hasRelatedWork W2613905993 @default.
- W2268940306 hasRelatedWork W2743143360 @default.
- W2268940306 hasRelatedWork W2810921360 @default.
- W2268940306 hasRelatedWork W2949228323 @default.
- W2268940306 hasRelatedWork W2960997452 @default.
- W2268940306 hasRelatedWork W3002331380 @default.
- W2268940306 hasRelatedWork W3010928382 @default.
- W2268940306 hasRelatedWork W3042953477 @default.
- W2268940306 hasRelatedWork W3163994581 @default.
- W2268940306 hasRelatedWork W3194854604 @default.
- W2268940306 hasVolume "2014" @default.
- W2268940306 isParatext "false" @default.
- W2268940306 isRetracted "false" @default.
- W2268940306 magId "2268940306" @default.
- W2268940306 workType "article" @default.