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» The Lower Tail of the Random Minimum Spanning Tree
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WEA
2010
Springer
311views Algorithms» more  WEA 2010»
14 years 2 months ago
Geometric Minimum Spanning Trees with GeoFilterKruskal
Let P be a set of points in Rd . We propose GEOFILTERKRUSKAL, an algorithm that computes the minimum spanning tree of P using well separated pair decomposition in combination with ...
Samidh Chatterjee, Michael Connor, Piyush Kumar
STOC
2004
ACM
122views Algorithms» more  STOC 2004»
14 years 7 months ago
Estimating the weight of metric minimum spanning trees in sublinear-time
In this paper we present a sublinear time (1+ )-approximation randomized algorithm to estimate the weight of the minimum spanning tree of an n-point metric space. The running time...
Artur Czumaj, Christian Sohler
STOC
2007
ACM
239views Algorithms» more  STOC 2007»
14 years 7 months ago
Approximating minimum bounded degree spanning trees to within one of optimal
In the MINIMUM BOUNDED DEGREE SPANNING TREE problem, we are given an undirected graph with a degree upper bound Bv on each vertex v, and the task is to find a spanning tree of min...
Mohit Singh, Lap Chi Lau
SODA
1998
ACM
157views Algorithms» more  SODA 1998»
13 years 8 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...
ICALP
2004
Springer
14 years 24 days ago
Quantum Query Complexity of Some Graph Problems
Quantum algorithms for graph problems are considered, both in the adjacency matrix model and in an adjacency list-like array model. We give almost tight lower and upper bounds for ...
Christoph Dürr, Mark Heiligman, Peter H&oslas...