Balancing minimum spanning trees and shortest-path trees
نویسندگان
چکیده
منابع مشابه
Balancing minimum spanning trees and multiple-source minimum routing cost spanning trees on metric graphs
The building cost of a spanning tree is the sum of weights of the edges used to construct the spanning tree. The routing cost of a source vertex s on a spanning tree T is the total summation of distances between the source vertex s and all the vertices d in T . Given a source vertices set S, the multiple-source routing cost of a spanning tree T is the summation of the routing costs for source v...
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Two algorithms are presented: a linear time algorithm for the minimum spanning tree problem and an O(m + n log n/log log n) implementation of Dijkstra's shortest-path algorithm for a graph with n vertices and m edges. The second algorithm surpasses information theoretic limitations applicable to comparison-based algorithms. Both algorithms utilize new data structures that extend the fusion tree...
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Let S be a set of n points in < d. We present an algorithm that uses the well-separated pair decomposition and computes the minimum spanning tree of S under any Lp or polyhedral metric. It has an expected running time of O(n logn) for uniform distributions. Experimentalresults show that this approachis practical. Under a variety of input distributions, the resultingimplementation is robust and ...
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1 Background Members of some secret party want to shutdown some high risk communication channals, while preserving low risk channals to ensure that members are still connected in the secret network.
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Let G =< V,E > be a connected graph with real-valued edge weights: w : E → R, having n vertices and m edges. A spanning tree in G is an acyclic subgraph of G that includes every vertex of G and is connected; every spanning tree has exactly n− 1 edges. A minimum spanning tree (MST) is a spanning tree of minimum weight which is defined to be the sum of the weights of all its edges. Our problem is...
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ژورنال
عنوان ژورنال: Algorithmica
سال: 1995
ISSN: 0178-4617,1432-0541
DOI: 10.1007/bf01294129