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» A 3-Approximation for the Minimum Tree Spanning k Vertices
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ALGORITHMICA
2010
112views more  ALGORITHMICA 2010»
13 years 7 months ago
On Sorting, Heaps, and Minimum Spanning Trees
Let A be a set of size m. Obtaining the first k m elements of A in ascending order can be done in optimal O(m + k log k) time. We present Incremental Quicksort (IQS), an algorith...
Gonzalo Navarro, Rodrigo Paredes
ICTAI
2006
IEEE
14 years 1 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
IPCO
2001
166views Optimization» more  IPCO 2001»
13 years 9 months ago
Approximate k-MSTs and k-Steiner Trees via the Primal-Dual Method and Lagrangean Relaxation
Garg [10] gives two approximation algorithms for the minimum-cost tree spanning k vertices in an undirected graph. Recently Jain and Vazirani [16] discovered primal-dual approxima...
Fabián A. Chudak, Tim Roughgarden, David P....
SODA
1998
ACM
157views Algorithms» more  SODA 1998»
13 years 9 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...
WAOA
2005
Springer
112views Algorithms» more  WAOA 2005»
14 years 1 months ago
Partial Multicuts in Trees
Let T = (V, E) be an undirected tree, in which each edge is associated with a non-negative cost, and let {s1, t1}, . . . , {sk, tk} be a collection of k distinct pairs of vertices...
Asaf Levin, Danny Segev