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» Maintaining Minimum Spanning Trees in Dynamic Graphs
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CORR
2008
Springer
138views Education» more  CORR 2008»
15 years 4 months ago
Computing Minimum Spanning Trees with Uncertainty
Abstract. We consider the minimum spanning tree problem in a setting where information about the edge weights of the given graph is uncertain. Initially, for each edge e of the gra...
Thomas Erlebach, Michael Hoffmann 0002, Danny Kriz...
ICALP
2000
Springer
15 years 8 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
WAOA
2007
Springer
170views Algorithms» more  WAOA 2007»
15 years 10 months ago
A 5/3-Approximation for Finding Spanning Trees with Many Leaves in Cubic Graphs
For a connected graph G, let L(G) denote the maximum number of leaves in a spanning tree in G. The problem of computing L(G) is known to be NP-hard even for cubic graphs. We improv...
José R. Correa, Cristina G. Fernandes, Mart...
WDAG
2001
Springer
107views Algorithms» more  WDAG 2001»
15 years 8 months ago
Self-Stabilizing Minimum Spanning Tree Construction on Message-Passing Networks
Self-stabilizing algorithms for constructing a spanning tree of an arbitrary network have been studied for many models of distributed networks including those that communicate via ...
Lisa Higham, Zhiying Liang
ICANN
2010
Springer
15 years 5 months ago
Visualising Clusters in Self-Organising Maps with Minimum Spanning Trees
Abstract. The Self-Organising Map (SOM) is a well-known neuralnetwork model that has successfully been used as a data analysis tool in many different domains. The SOM provides a to...
Rudolf Mayer, Andreas Rauber