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STOC
2005
ACM
115views Algorithms» more  STOC 2005»
16 years 6 months ago
Lower-stretch spanning trees
We show that every weighted connected graph G contains as a subgraph a spanning tree into which the edges of G can be embedded with average stretch O log2 n log log n . Moreover, w...
Michael Elkin, Yuval Emek, Daniel A. Spielman, Sha...
IWPEC
2009
Springer
16 years 29 days ago
On the Directed Degree-Preserving Spanning Tree Problem
In this paper we initiate a systematic study of the Reduced Degree Spanning Tree problem, where given a digraph D and a nonnegative integer k, the goal is to construct a spanning o...
Daniel Lokshtanov, Venkatesh Raman, Saket Saurabh,...
TCAD
2008
195views more  TCAD 2008»
15 years 6 months ago
Multilayer Obstacle-Avoiding Rectilinear Steiner Tree Construction Based on Spanning Graphs
Given a set of pins and a set of obstacles on routing layers, a multilayer obstacle-avoiding rectilinear Steiner minimal tree (ML-OARSMT) connects these pins by rectilinear edges w...
Chung-Wei Lin, Shih-Lun Huang, Kai-Chi Hsu, Meng-X...
ICALP
2001
Springer
15 years 11 months ago
Approximating the Minimum Spanning Tree Weight in Sublinear Time
We present a probabilistic algorithm that, given a connected graph G (represented by adjacency lists) of average degree d, with edge weights in the set {1, . . . , w}, and given a ...
Bernard Chazelle, Ronitt Rubinfeld, Luca Trevisan
WADS
2005
Springer
162views Algorithms» more  WADS 2005»
15 years 12 months ago
The Minimum-Area Spanning Tree Problem
Motivated by optimization problems in sensor coverage, we formulate and study the Minimum-Area Spanning Tree (mast) problem: Given a set P of n points in the plane, find a spannin...
Paz Carmi, Matthew J. Katz, Joseph S. B. Mitchell