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» Approximate Tree Embedding Problem - An Algebraic Approach
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STOC
2003
ACM
130views Algorithms» more  STOC 2003»
14 years 7 months ago
A tight bound on approximating arbitrary metrics by tree metrics
In this paper, we show that any n point metric space can be embedded into a distribution over dominating tree metrics such that the expected stretch of any edge is O(log n). This ...
Jittat Fakcharoenphol, Satish Rao, Kunal Talwar
COCOA
2008
Springer
13 years 9 months ago
Elementary Approximation Algorithms for Prize Collecting Steiner Tree Problems
This paper deals with approximation algorithms for the prize collecting generalized Steiner forest problem, defined as follows. The input is an undirected graph G = (V, E), a colle...
Shai Gutner
STACS
2009
Springer
14 years 2 months ago
Polynomial-Time Approximation Schemes for Subset-Connectivity Problems in Bounded-Genus Graphs
We present the first polynomial-time approximation schemes (PTASes) for the following subset-connectivity problems in edge-weighted graphs of bounded genus: Steiner tree, low-conn...
Glencora Borradaile, Erik D. Demaine, Siamak Tazar...
TCBB
2010
106views more  TCBB 2010»
13 years 2 months ago
Quantifying the Degree of Self-Nestedness of Trees: Application to the Structural Analysis of Plants
In this paper we are interested in the problem of approximating trees by trees with a particular self-nested structure. Self-nested trees are such that all their subtrees of a give...
Christophe Godin, Pascal Ferraro
CPC
2008
135views more  CPC 2008»
13 years 7 months ago
Subtree Sizes in Recursive Trees and Binary Search Trees: Berry-Esseen Bounds and Poisson Approximations
We study the number of subtrees on the fringe of random recursive trees and random binary search trees whose limit law is known to be either normal or Poisson or degenerate depend...
Michael Fuchs