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» Realization of Degree 10 Minimum Spanning Trees in 3-Space
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CCCG
2006
13 years 8 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 7 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 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
INFOCOM
2006
IEEE
14 years 1 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