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» Realization of Degree 10 Minimum Spanning Trees in 3-Space
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CCCG
2006
13 years 5 months ago
Realization of Degree 10 Minimum Spanning Trees in 3-Space
We show that any tree whose maximum degree is at most 10 can be drawn in 3-space such that it is the minimum spanning tree of its vertices.
James A. King
STOC
2007
ACM
239views Algorithms» more  STOC 2007»
14 years 4 months ago
Approximating minimum bounded degree spanning trees to within one of optimal
In the MINIMUM BOUNDED DEGREE SPANNING TREE problem, we are given an undirected graph with a degree upper bound Bv on each vertex v, and the task is to find a spanning tree of min...
Mohit Singh, Lap Chi Lau
ICALP
2001
Springer
13 years 8 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
INFOCOM
2006
IEEE
13 years 10 months ago
Relay Placement for Higher Order Connectivity in Wireless Sensor Networks
Abstract— Sensors typically use wireless transmitters to communicate with each other. However, sensors may be located in a way that they cannot even form a connected network (e.g...
Abhishek Kashyap, Samir Khuller, Mark A. Shayman