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FOCS
2003
IEEE
14 years 9 days ago
Bounded Geometries, Fractals, and Low-Distortion Embeddings
The doubling constant of a metric space (X, d) is the smallest value λ such that every ball in X can be covered by λ balls of half the radius. The doubling dimension of X is the...
Anupam Gupta, Robert Krauthgamer, James R. Lee
SODA
2010
ACM
178views Algorithms» more  SODA 2010»
14 years 4 months ago
Tree Embeddings for Two-Edge-Connected Network Design
The group Steiner problem is a classical network design problem where we are given a graph and a collection of groups of vertices, and want to build a min-cost subgraph that conne...
Anupam Gupta, Ravishankar Krishnaswamy, R. Ravi
RSA
2011
126views more  RSA 2011»
13 years 1 months ago
Local resilience of almost spanning trees in random graphs
We prove that for fixed integer D and positive reals α and γ, there exists a constant C0 such that for all p satisfying p(n) ≥ C0/n, the random graph G(n, p) asymptotically a...
József Balogh, Béla Csaba, Wojciech ...
SODA
2007
ACM
106views Algorithms» more  SODA 2007»
13 years 8 months ago
Embedding metrics into ultrametrics and graphs into spanning trees with constant average distortion
This paper addresses the basic question of how well can a tree approximate distances of a metric space or a graph. Given a graph, the problem of constructing a spanning tree in a ...
Ittai Abraham, Yair Bartal, Ofer Neiman
IWOCA
2009
Springer
104views Algorithms» more  IWOCA 2009»
14 years 1 months ago
An O(n)-Time Algorithm for the Paired-Domination Problem on Permutation Graphs
A vertex subset D of a graph G is a dominating set if every vertex of G is either in D or is adjacent to a vertex in D. The paired-domination problem on G asks for a minimum-cardi...
Evaggelos Lappas, Stavros D. Nikolopoulos, Leonida...