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COMPGEOM
2010
ACM
14 years 1 months ago
Optimal reconstruction might be hard
Sampling conditions for recovering the homology of a set using topological persistence are much weaker than sampling conditions required by any known algorithm for producing a top...
Dominique Attali, André Lieutier
FOCS
2002
IEEE
14 years 1 months ago
A Lower Bound for Testing 3-Colorability in Bounded-Degree Graphs
We consider the problem of testing 3-colorability in the bounded-degree model. We show that, for small enough ε, every tester for 3colorability must have query complexity Ω(n)....
Andrej Bogdanov, Kenji Obata, Luca Trevisan
FOCS
2002
IEEE
14 years 1 months ago
Optimal System of Loops on an Orientable Surface
Every compact orientable boundaryless surface M can be cut along simple loops with a common point v0, pairwise disjoint except at v0, so that the resulting surface is a topologica...
Éric Colin de Verdière, Francis Laza...
COMPGEOM
2009
ACM
14 years 27 days ago
Kinetic spanners in Rd
We present a new (1 + ε)-spanner for sets of n points in Rd . Our spanner has size O(n/εd−1 ) and maximum degree O(logd n). The main advantage of our spanner is that it can be...
Mohammad Ali Abam, Mark de Berg
COCOA
2009
Springer
14 years 26 days ago
Variable-Size Rectangle Covering
Abstract. In wireless communication networks, optimal use of the directional antenna is very important. The directional antenna coverage (DAC) problem is to cover all clients with ...
Francis Y. L. Chin, Hing-Fung Ting, Yong Zhang