DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bhattacharyya Arnab | ko |
dc.contributor.author | Grigorescu Elena | ko |
dc.contributor.author | Jha Madhav | ko |
dc.contributor.author | Jung, Kyomin | ko |
dc.contributor.author | Raskhodnikova Sofya | ko |
dc.contributor.author | Woodruff David P. | ko |
dc.date.accessioned | 2013-03-28T09:02:57Z | - |
dc.date.available | 2013-03-28T09:02:57Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2010-09-01 | - |
dc.identifier.citation | 13th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2010 and 14th International Workshop on Randomization and Computation, RANDOM 2010, pp.448 - 461 | - |
dc.identifier.issn | 0302-9743 | - |
dc.identifier.uri | http://hdl.handle.net/10203/164347 | - |
dc.description.abstract | Given a directed graph G = (V, E) and an integer k >= 1, a k-transitive-closure-spanner (k-TC-spanner) of G is a directed graph H = (V, E-H) that has (1) the same transitive-closure as G and (2) diameter at most k. Transitive-closure spanners are a common abstraction for applications in access control, property testing and data structures. We show a connection between 2-TC-spanners and local monotonicity reconstractors. A local monotonicity reconstructor, introduced by Saks and Seshadhri (SIAM Journal on Computing, 2010), is a randomized algorithm that, given access to an oracle for an almost monotone function f : [m](d) -> R, can quickly evaluate a related function g : [m](d) -> R which is guaranteed to be monotone. Furthermore, the reconstructor can be implemented in a distributed manner. We show that an efficient local monotonicity reconstructor implies a sparse 2-TC-spanner of the directed hypergrid (hypercube), providing a new technique for proving lower bounds for local monotonicity reconstructors. Our connection is, in fact, more general: an efficient local monotonicity reconstructor for functions on any partially ordered set (poset) implies a sparse 2-TC-spanner of the directed acyclic graph corresponding to the poset. We present tight upper and lower bounds on the size of the sparsest 2-TC-spanners of the directed hypercube and hypergrid. These bounds imply tighter lower bounds for local monotonicity reconstructors that nearly match the known upper bounds. | - |
dc.language | English | - |
dc.publisher | RANDOM | - |
dc.title | Lower bounds for local monotonicity reconstruction from transitive-closure spanners | - |
dc.type | Conference | - |
dc.identifier.wosid | 000284820600034 | - |
dc.identifier.scopusid | 2-s2.0-78149304714 | - |
dc.type.rims | CONF | - |
dc.citation.beginningpage | 448 | - |
dc.citation.endingpage | 461 | - |
dc.citation.publicationname | 13th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2010 and 14th International Workshop on Randomization and Computation, RANDOM 2010 | - |
dc.identifier.conferencecountry | SP | - |
dc.embargo.liftdate | 9999-12-31 | - |
dc.embargo.terms | 9999-12-31 | - |
dc.contributor.localauthor | Jung, Kyomin | - |
dc.contributor.nonIdAuthor | Bhattacharyya Arnab | - |
dc.contributor.nonIdAuthor | Grigorescu Elena | - |
dc.contributor.nonIdAuthor | Jha Madhav | - |
dc.contributor.nonIdAuthor | Raskhodnikova Sofya | - |
dc.contributor.nonIdAuthor | Woodruff David P. | - |
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