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» On Central Spanning Trees of a Graph
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FOCS
2009
IEEE
14 years 2 months ago
Faster Generation of Random Spanning Trees
In this paper, we set forth a new algorithm for generating approximately uniformly random spanning trees in undirected graphs. We show how to sample from a distribution that is wi...
Jonathan A. Kelner, Aleksander Madry
IFIP
2004
Springer
14 years 23 days ago
Engineering an External Memory Minimum Spanning Tree Algorithm
We develop an external memory algorithm for computing minimum spanning trees. The algorithm is considerably simpler than previously known external memory algorithms for this proble...
Roman Dementiev, Peter Sanders, Dominik Schultes, ...
ESA
2000
Springer
110views Algorithms» more  ESA 2000»
13 years 11 months ago
Maintaining a Minimum Spanning Tree Under Transient Node Failures
Given a 2-node connected, undirected graph G = (V, E), with n nodes and m edges with real weights, and given a minimum spanning tree (MST) T = (V, ET ) of G, we study the problem o...
Enrico Nardelli, Guido Proietti, Peter Widmayer
COMBINATORICS
2000
112views more  COMBINATORICS 2000»
13 years 7 months ago
A Note on Random Minimum Length Spanning Trees
Consider a connected r-regular n-vertex graph G with random independent edge lengths, each uniformly distributed on [0, 1]. Let mst(G) be the expected length of a minimum spanning...
Alan M. Frieze, Miklós Ruszinkó, Lub...
JACM
2000
119views more  JACM 2000»
13 years 7 months ago
A minimum spanning tree algorithm with Inverse-Ackermann type complexity
A deterministic algorithm for computing a minimum spanning tree of a connected graph is presented. Its running time is O(m (m, n)), where is the classical functional inverse of Ack...
Bernard Chazelle