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SODA
1998
ACM
157views Algorithms» more  SODA 1998»
14 years 11 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...
TALG
2008
69views more  TALG 2008»
14 years 9 months ago
Testing Euclidean minimum spanning trees in the plane
Given a Euclidean graph G over a set P of n points in the plane, we are interested in verifying whether G is a Euclidean minimum spanning tree (EMST) of P or G differs from it in ...
Artur Czumaj, Christian Sohler
EUROCAST
2009
Springer
185views Hardware» more  EUROCAST 2009»
15 years 4 months ago
Solving the Euclidean Bounded Diameter Minimum Spanning Tree Problem by Clustering-Based (Meta-)Heuristics
The bounded diameter minimum spanning tree problem is an NP-hard combinatorial optimization problem arising in particular in network design. There exist various exact and metaheuri...
Martin Gruber, Günther R. Raidl
FOCS
1992
IEEE
15 years 1 months ago
Dynamic Half-Space Reporting, Geometric Optimization, and Minimum Spanning Trees
We describe dynamic data structures for half-space range reporting and for maintaining the minima of a decomposable function. Using these data structures, we obtain efficient dyna...
Pankaj K. Agarwal, David Eppstein, Jirí Mat...
76
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ALGORITHMICA
2010
112views more  ALGORITHMICA 2010»
14 years 9 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