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148
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NETWORKS
2006
15 years 3 months ago
Lower bounds for the relative greedy algorithm for approximating Steiner trees
Abstract. The Steiner tree problem is to find a shortest subgraph that spans a given set of vertices in a graph. This problem is known to be NP-hard and it is well known that a pol...
Stefan Hougardy, Stefan Kirchner
109
Voted
IPL
2007
89views more  IPL 2007»
15 years 3 months ago
On the longest path algorithm for reconstructing trees from distance matrices
Culberson and Rudnicki [1] gave an algorithm that reconstructs a degree d restricted tree from its distance matrix. According to their analysis, it runs in time O(dn logd n) for t...
Lev Reyzin, Nikhil Srivastava
107
Voted
ALGORITHMICA
2002
109views more  ALGORITHMICA 2002»
15 years 3 months ago
A Near-Linear Area Bound for Drawing Binary Trees
We present several simple methods to construct planar, strictly upward, strongly order-preserving, straight-line drawings of any n-node binary tree. In particular, it is shown that...
Timothy M. Chan
122
Voted
DCG
2002
71views more  DCG 2002»
15 years 3 months ago
A Polytope Related to Empirical Distributions, Plane Trees, Parking Functions, and the Associahedron
The volume of the n-dimensional polytope nx := fy 2 Rn : yi 0 and y1 + + yi x1 + + xi for all 1 i ng for arbitrary x := x1; : : : ; xn with xi 0 for all i de nes a polyn...
Richard P. Stanley, Jim Pitman
133
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ESA
2003
Springer
123views Algorithms» more  ESA 2003»
15 years 8 months ago
Experiments on Graph Clustering Algorithms
A promising approach to graph clustering is based on the intuitive notion of intra-cluster density vs. inter-cluster sparsity. While both formalizations and algorithms focusing on ...
Ulrik Brandes, Marco Gaertler, Dorothea Wagner