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Minimum spanning tree

Known as: Minimal spanning tree, Minimum spanning trees, Minimum weight spanning forest 
A minimum spanning tree (MST) or minimum weight spanning tree is a subset of the edges of a connected, edge-weighted undirected graph that connects… 
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Papers overview

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Highly Cited
2002
Highly Cited
2002
We establish that the algorithmic complexity of the minimumspanning tree problem is equal to its decision-tree complexity… 
Highly Cited
2000
Highly Cited
2000
A deterministic algorithm for computing a minimum spanning tree of a connected graph is presented. Its running time is <italic>0… 
Highly Cited
1995
Highly Cited
1995
We present a randomized linear-time algorithm to find a minimum spanning tree in a connected graph with edge weights. The… 
Highly Cited
1986
Highly Cited
1986
Recently, Fredman and Tarjan invented a new, especially efficient form of heap (priority queue). Their data structure… 
Highly Cited
1985
Highly Cited
1985
It is standard practice among authors discussing the minimum spanning tree problem to refer to the work of Kruskal(1956) and Prim… 
Highly Cited
1983
Highly Cited
1983
Abstract : A distributed algorithm is presented that constructs the minimum weight spanning tree in a connected undirected graph… 
Highly Cited
1982
Highly Cited
1982
  • A. Yao
  • SIAM J. Comput.
  • 1982
  • Corpus ID: 17376286
The problem of finding a minimum spanning tree connecting n points in a k-dimensional space is discussed under three common… 
Highly Cited
1976
Highly Cited
1976
This paper studies methods for finding minimum spanning trees in graphs. Results include 1. several algorithms with $O(m\log \log… 
Highly Cited
1971
Highly Cited
1971
The relationship between the symmetric traveling-salesman problem and the minimum spanning tree problem yields a sharp lower… 
Highly Cited
1969
Highly Cited
1969
Minimum spanning trees (MST) and single linkage cluster analysis (SLCA) are explained and it is shown that all the information…