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» Uniform Hashing in Constant Time and Optimal Space
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LATIN
2010
Springer
14 years 2 months ago
Optimal Succinctness for Range Minimum Queries
For a static array A of n totally ordered objects, a range minimum query asks for the position of the minimum between two specified array indices. We show how to preprocess A into...
Johannes Fischer
SIAMCOMP
2002
142views more  SIAMCOMP 2002»
13 years 7 months ago
On Binary Searching with Nonuniform Costs
Let us consider an ordered vector A[1 : n]. If the cost of testing each position is similar, then the standard binary search is the best strategy to search the vector. This is true...
Eduardo Sany Laber, Ruy Luiz Milidiú, Artur...
FOCS
2008
IEEE
13 years 7 months ago
Market Equilibria in Polynomial Time for Fixed Number of Goods or Agents
We consider markets in the classical Arrow-Debreu model. There are n agents and m goods. Each buyer has a concave utility function (of the bundle of goods he/she buys) and an init...
Nikhil R. Devanur, Ravi Kannan
ESA
2008
Springer
102views Algorithms» more  ESA 2008»
13 years 9 months ago
Succinct Representations of Arbitrary Graphs
Abstract. We consider the problem of encoding a graph with n vertices and m edges compactly supporting adjacency, neighborhood and degree queries in constant time in the log n-bit ...
Arash Farzan, J. Ian Munro
FOCS
2006
IEEE
14 years 1 months ago
On the Optimality of the Dimensionality Reduction Method
We investigate the optimality of (1+ )-approximation algorithms obtained via the dimensionality reduction method. We show that: • Any data structure for the (1 + )-approximate n...
Alexandr Andoni, Piotr Indyk, Mihai Patrascu