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TCAD
2008
195views more  TCAD 2008»
15 years 1 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...
FOCS
2009
IEEE
15 years 8 months ago
Faster Generation of Random Spanning Trees
In this paper, we set forth a new algorithm for generating approximately uniformly random spanning trees in undirected graphs. We show how to sample from a distribution that is wi...
Jonathan A. Kelner, Aleksander Madry
114
Voted
IWPEC
2009
Springer
15 years 8 months ago
An Exact Algorithm for the Maximum Leaf Spanning Tree Problem
Given an undirected graph with n nodes, the Maximum Leaf Spanning Tree problem is to find a spanning tree with as many leaves as possible. When parameterized in the number of leav...
Henning Fernau, Joachim Kneis, Dieter Kratsch, Ale...
ENDM
2010
110views more  ENDM 2010»
15 years 1 months ago
Modelling the Hop Constrained Connected Facility Location Problem on Layered Graphs
Gouveia et al. [3] show how to model the Hop Constrained Minimum Spanning tree problem as Steiner tree problem on a layered graph. Following their ideas, we provide three possibil...
Ivana Ljubic, Stefan Gollowitzer
102
Voted
STOC
2005
ACM
115views Algorithms» more  STOC 2005»
16 years 2 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...