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» Minimum Bounded Degree Spanning Trees
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CCCG
2006
13 years 6 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
INFOCOM
2003
IEEE
13 years 10 months ago
Design and Analysis of an MST-Based Topology Control Algorithm
— In this paper, we present a Minimum Spanning Tree (MST) based topology control algorithm, called Local Minimum Spanning Tree (LMST), for wireless multi-hop networks. In this al...
Ning Li, Jennifer C. Hou, Lui Sha
COMPGEOM
2003
ACM
13 years 10 months ago
Euclidean bounded-degree spanning tree ratios
Let τK be the worst-case (supremum) ratio of the weight of the minimum degree-K spanning tree to the weight of the minimum spanning tree, over all finite point sets in the Eu
Timothy M. Chan
STOC
2003
ACM
171views Algorithms» more  STOC 2003»
14 years 5 months ago
Primal-dual meets local search: approximating MST's with nonuniform degree bounds
We present a new bicriteria approximation algorithm for the degree-bounded minimum-cost spanning tree problem: Given an undirected graph with nonnegative edge weights and degree b...
Jochen Könemann, R. Ravi
ICALP
2001
Springer
13 years 9 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