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» Partitioning Graphs into Connected Parts
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FOCS
2007
IEEE
16 years 17 hour 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»
15 years 5 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 7 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
132
Voted
COMBINATORICA
2006
125views more  COMBINATORICA 2006»
15 years 5 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»
15 years 5 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...