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» On encodings of spanning trees
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ICALP
2000
Springer
13 years 11 months ago
An Optimal Minimum Spanning Tree Algorithm
We establish that the algorithmic complexity of the minimum spanning tree problem is equal to its decision-tree complexity. Specifically, we present a deterministic algorithm to fi...
Seth Pettie, Vijaya Ramachandran
EUROCAST
2009
Springer
185views Hardware» more  EUROCAST 2009»
14 years 2 months ago
Solving the Euclidean Bounded Diameter Minimum Spanning Tree Problem by Clustering-Based (Meta-)Heuristics
The bounded diameter minimum spanning tree problem is an NP-hard combinatorial optimization problem arising in particular in network design. There exist various exact and metaheuri...
Martin Gruber, Günther R. Raidl
ICML
2010
IEEE
13 years 8 months ago
Random Spanning Trees and the Prediction of Weighted Graphs
We show that the mistake bound for predicting the nodes of an arbitrary weighted graph is characterized (up to logarithmic factors) by the cutsize of a random spanning tree of the...
Nicolò Cesa-Bianchi, Claudio Gentile, Fabio...
NETWORKS
2008
13 years 7 months ago
The number of spanning trees in a class of double fixed-step loop networks
In this paper, we develop a method to count the number of spanning trees in certain classes of double fixed-step loop networks with nonconstant steps. More specifically our techni...
Xuerong Yong, Yuanping Zhang, Mordecai J. Golin
22
Voted
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...