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FOCS
2003
IEEE
15 years 11 months ago
Quantum Search of Spatial Regions
: Can Grover’s algorithm speed up search of a physical region—for example a 2-D grid of size √ n × √ n? The problem is that √ n time seems to be needed for each query, j...
Scott Aaronson, Andris Ambainis
SIROCCO
2007
15 years 7 months ago
Why Robots Need Maps
Abstract. A large group of autonomous, mobile entities e.g. robots initially placed at some arbitrary node of the graph has to jointly visit all nodes (not necessarily all edges) a...
Miroslaw Dynia, Jakub Lopuszanski, Christian Schin...
DCG
2011
15 years 1 months ago
Small Grid Embeddings of 3-Polytopes
We introduce an algorithm that embeds a given 3-connected planar graph as a convex 3-polytope with integer coordinates. The size of the coordinates is bounded by O(27.55n ) = O(18...
Ares Ribó Mor, Günter Rote, Andr&eacut...
CORR
2010
Springer
182views Education» more  CORR 2010»
15 years 6 months ago
Index coding via linear programming
Abstract Anna Blasiak Robert Kleinberg Eyal Lubetzky Index Coding has received considerable attention recently motivated in part by applications such as fast video-on-demand and e...
Anna Blasiak, Robert D. Kleinberg, Eyal Lubetzky
ALGORITHMICA
2011
15 years 1 months ago
On Bounded Leg Shortest Paths Problems
Let V be a set of points in a d-dimensional lp-metric space. Let s, t ∈ V and let L be any real number. An L-bounded leg path from s to t is an ordered set of points which conne...
Liam Roditty, Michael Segal