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FOCS
2006
IEEE
15 years 3 months ago
Local Graph Partitioning using PageRank Vectors
A local graph partitioning algorithm finds a cut near a specified starting vertex, with a running time that depends largely on the size of the small side of the cut, rather than...
Reid Andersen, Fan R. K. Chung, Kevin J. Lang
FOCS
2006
IEEE
15 years 3 months ago
Improved approximation algorithms for multidimensional bin packing problems
In this paper we introduce a new general framework for set covering problems, based on the combination of randomized rounding of the (near-)optimal solution of the Linear Programm...
Nikhil Bansal, Alberto Caprara, Maxim Sviridenko
FOCS
2006
IEEE
15 years 3 months ago
Dispersion of Mass and the Complexity of Randomized Geometric Algorithms
How much can randomness help computation? Motivated by this general question and by volume computation, one of the few instances where randomness provably helps, we analyze a noti...
Luis Rademacher, Santosh Vempala
FOCS
2006
IEEE
15 years 3 months ago
Approximate Min-Max Theorems of Steiner Rooted-Orientations of Hypergraphs
Given an undirected hypergraph and a subset of vertices S ⊆ V with a specified root vertex r ∈ S, the STEINER ROOTED-ORIENTATION problem is to find an orientation of all the...
Tamás Király, Lap Chi Lau
FOCS
2006
IEEE
15 years 3 months ago
Generalization of Binary Search: Searching in Trees and Forest-Like Partial Orders
We extend the binary search technique to searching in trees. We consider two models of queries: questions about vertices and questions about edges. We present a general approach t...
Krzysztof Onak, Pawel Parys
Theoretical Computer Science
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