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COMPGEOM
2003
ACM
13 years 11 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
COMBINATORICA
2008
112views more  COMBINATORICA 2008»
13 years 6 months ago
On the rigidity of molecular graphs
The rigidity of squares of graphs in three-space has important applications to the study of flexibility in molecules. The Molecular Conjecture, posed in 1984 by T-S. Tay and W. Wh...
Bill Jackson, Tibor Jordán
ICALP
2001
Springer
13 years 10 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
AINA
2007
IEEE
14 years 10 days ago
Depth-Latency Tradeoffs in Multicast Tree Algorithms
The construction of multicast trees is complicated by the need to balance a number of important objectives, including: minimizing latencies, minimizing depth/hops, and bounding th...
Michael T. Helmick, Fred S. Annexstein
FSTTCS
2001
Springer
13 years 10 months ago
The Directed Minimum-Degree Spanning Tree Problem
Consider a directed graph G = (V, E) with n vertices and a root vertex r ∈ V . The DMDST problem for G is one of constructing a spanning tree rooted at r, whose maximal degree is...
Radha Krishnan, Balaji Raghavachari