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» On the Crossing Spanning Tree Problem
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SPAA
1993
ACM
14 years 1 months ago
Optimal Parallel Construction of Hamiltonian Cycles and Spanning Trees in Random Graphs
We give tight bounds on the parallel complexity of some problems involving random graphs. Speci cally, we show that a Hamiltonian cycle, a breadth rst spanning tree, and a maximal...
Philip D. MacKenzie, Quentin F. Stout
APPROX
2007
Springer
115views Algorithms» more  APPROX 2007»
14 years 3 months ago
Improved Approximation Algorithms for the Spanning Star Forest Problem
A star graph is a tree of diameter at most two. A star forest is a graph that consists of node-disjoint star graphs. In the spanning star forest problem, given an unweighted graph ...
Ning Chen, Roee Engelberg, C. Thach Nguyen, Prasad...
CORR
2008
Springer
115views Education» more  CORR 2008»
13 years 9 months ago
Spanning directed trees with many leaves
The Directed Maximum Leaf Out-Branching problem is to find an out-branching (i.e. a rooted oriented spanning tree) in a given digraph with the maximum number of leaves. In this pap...
Noga Alon, Fedor V. Fomin, Gregory Gutin, Michael ...
FOCS
1996
IEEE
14 years 1 months ago
A 3-Approximation for the Minimum Tree Spanning k Vertices
In thispaper we give a 3-approximationalgorithmfor the problem ojJnding a minimum tree spanning any k-vertices in a graph. Our algorithm extends to a 3-approximationalgorithmfor t...
Naveen Garg
TCAD
2008
128views more  TCAD 2008»
13 years 9 months ago
Obstacle-Avoiding Rectilinear Steiner Tree Construction Based on Spanning Graphs
Given a set of pins and a set of obstacles on a plane, an obstacle-avoiding rectilinear Steiner minimal tree (OARSMT) connects these pins, possibly through some additional points (...
Chung-Wei Lin, Szu-Yu Chen, Chi-Feng Li, Yao-Wen C...