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» Testing Euclidean minimum spanning trees in the plane
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GECCO
2004
Springer
123views Optimization» more  GECCO 2004»
14 years 21 days ago
Heuristic Methods for Solving Euclidean Non-uniform Steiner Tree Problems
In this paper, we consider a variation of the Euclidean Steiner Tree Problem in which the space underlying the set of nodes has a specified non-uniform cost structure. This proble...
Ian Frommer, Bruce L. Golden, Guruprasad Pundoor
HPCC
2007
Springer
14 years 1 months ago
An Adaptive Parallel Hierarchical Clustering Algorithm
Clustering of data has numerous applications and has been studied extensively. It is very important in Bioinformatics and data mining. Though many parallel algorithms have been des...
Zhaopeng Li, Kenli Li, Degui Xiao, Lei Yang
ESA
2009
Springer
144views Algorithms» more  ESA 2009»
14 years 1 months ago
Narrow-Shallow-Low-Light Trees with and without Steiner Points
We show that for every set S of n points in the plane and a designated point rt ∈ S, there exists a tree T that has small maximum degree, depth and weight. Moreover, for every po...
Michael Elkin, Shay Solomon
ALGORITHMICA
2010
147views more  ALGORITHMICA 2010»
13 years 7 months ago
Note on the Structure of Kruskal's Algorithm
We study the merging process when Kruskal's algorithm is run with random graphs as inputs. Our aim is to analyze this process when the underlying graph is the complete graph ...
Nicolas Broutin, Luc Devroye, Erin McLeish
ESA
1994
Springer
138views Algorithms» more  ESA 1994»
13 years 11 months ago
Efficient Construction of a Bounded Degree Spanner with Low Weight
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a graph having the points of S as its vertices such that for any pair p, q of points ther...
Sunil Arya, Michiel H. M. Smid