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» Maintaining Minimum Spanning Trees in Dynamic Graphs
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IFIP
2004
Springer
14 years 1 months 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, ...
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
PODC
2009
ACM
14 years 8 months ago
Brief announcement: minimum spanning trees and cone-based topology control
Consider a setting where nodes can vary their transmission power thereby changing the network topology, the goal of topology control is to reduce the transmission power while ensu...
Alejandro Cornejo, Nancy A. Lynch
COR
2008
142views more  COR 2008»
13 years 7 months ago
Modeling and solving the rooted distance-constrained minimum spanning tree problem
In this paper we discuss models and methods for solving the rooted distance constrained minimum spanning tree problem which is defined as follows: given a graph G = (V, E) with no...
Luis Gouveia, Ana Paias, Dushyant Sharma