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ICTAI
2006
IEEE
13 years 11 months ago
Minimum Spanning Tree Based Clustering Algorithms
We propose two Euclidean minimum spanning tree based clustering algorithms — one a k-constrained, and the other an unconstrained algorithm. Our k-constrained clustering algorith...
Oleksandr Grygorash, Yan Zhou, Zach Jorgensen
SODA
2004
ACM
156views Algorithms» more  SODA 2004»
13 years 7 months ago
Approximating Minimum Max-Stretch spanning Trees on unweighted graphs
Given a graph G and a spanning tree T of G, we say that T is a tree t-spanner of G if the distance between every pair of vertices in T is at most t times their distance in G. The p...
Yuval Emek, David Peleg
FOCS
1996
IEEE
13 years 10 months ago
A 3-Approximation for the Minimum Tree Spanning k Vertices
In thispaper we give a 3-approximationalgorithmfor the problem ojJnding a minimum tree spanning any k-vertices in a graph. Our algorithm extends to a 3-approximationalgorithmfor t...
Naveen Garg
GECCO
2005
Springer
156views Optimization» more  GECCO 2005»
13 years 11 months ago
The blob code is competitive with edge-sets in genetic algorithms for the minimum routing cost spanning tree problem
Among the many codings of spanning trees for evolutionary search are those based on bijections between Pr¨ufer strings—strings of n−2 vertex labels—and spanning trees on th...
Bryant A. Julstrom
SODA
1998
ACM
157views Algorithms» more  SODA 1998»
13 years 7 months ago
A Polynomial Time Approximation Scheme for Minimum Routing Cost Spanning Trees
Given an undirected graph with nonnegative costs on the edges, the routing cost of any of its spanning trees is the sum over all pairs of vertices of the cost of the path between t...
Bang Ye Wu, Giuseppe Lancia, Vineet Bafna, Kun-Mao...