A data structure for dynamic trees
Journal of Computer and System Sciences
Skip lists: a probabilistic alternative to balanced trees
Communications of the ACM
Ambivalent data structures for dynamic 2-edge-connectivity and k smallest spanning trees
SFCS '91 Proceedings of the 32nd annual symposium on Foundations of computer science
Sparsification—a technique for speeding up dynamic graph algorithms
Journal of the ACM (JACM)
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
Experimental analysis of dynamic minimum spanning tree algorithms
SODA '97 Proceedings of the eighth annual ACM-SIAM symposium on Discrete algorithms
Maintaining Minimum Spanning Trees in Dynamic Graphs
ICALP '97 Proceedings of the 24th International Colloquium on Automata, Languages and Programming
Maintaining Dynamic Minimum Spanning Trees: An Experimental Study
ALENEX '02 Revised Papers from the 4th International Workshop on Algorithm Engineering and Experiments
Implementations and experimental studies of dynamic graph algorithms
Experimental algorithmics
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
Effective Tour Searching for TSP by Contraction of Pseudo Backbone Edges
AAIM '09 Proceedings of the 5th International Conference on Algorithmic Aspects in Information and Management
Journal of Experimental Algorithmics (JEA)
Maintaining dynamic minimum spanning trees: An experimental study
Discrete Applied Mathematics
WEA'07 Proceedings of the 6th international conference on Experimental algorithms
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We consider the problem of maintaining a minimum spanning tree of a dynamically changing graph, subject to changes on edge weights. We propose an on-line fully-dynamic algorithm that runs in time O(|E|) when the easy-to-implement DRD-trees data structure for dynamic trees is used. Numerical experiments illustrate the efficiency of the approach.