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» Partitioning Graphs into Connected Parts
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FOCS
2007
IEEE
15 years 6 months ago
Adaptive Simulated Annealing: A Near-optimal Connection between Sampling and Counting
We present a near-optimal reduction from approximately counting the cardinality of a discrete set to approximately sampling elements of the set. An important application of our wo...
Daniel Stefankovic, Santosh Vempala, Eric Vigoda
ARSCOM
2008
192views more  ARSCOM 2008»
14 years 11 months ago
Bounds on the metric and partition dimensions of a graph
Given a graph G, we say S V (G) is resolving if for each pair of distinct u, v V (G) there is a vertex x in S where d(u, x) = d(v, x). The metric dimension of G is the minimum c...
Glenn G. Chappell, John G. Gimbel, Chris Hartman
APPROX
2010
Springer
176views Algorithms» more  APPROX 2010»
15 years 1 months ago
Approximation Algorithms for Min-Max Generalization Problems
Abstract. We provide improved approximation algorithms for the minmax generalization problems considered by Du, Eppstein, Goodrich, and Lueker [1]. In min-max generalization proble...
Piotr Berman, Sofya Raskhodnikova
COMBINATORICA
2006
125views more  COMBINATORICA 2006»
14 years 11 months ago
Coloring Subgraphs of the Rado Graph
Given a universal binary countable homogeneous structure U and n , there is a partition of the induced n-element substructures of U into finitely many classes so that for any par...
Norbert W. Sauer
JDA
2008
94views more  JDA 2008»
14 years 11 months ago
Approximability of partitioning graphs with supply and demand
Suppose that each vertex of a graph G is either a supply vertex or a demand vertex and is assigned a positive real number, called the supply or the demand. Each demand vertex can ...
Takehiro Ito, Erik D. Demaine, Xiao Zhou, Takao Ni...