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Fully Dynamic Algorithms for Edge Connectivity Problems (1991)  (Make Corrections)  (16 citations)
Zvi Galil, Giuseppe F. Italiano



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Abstract: ) Zvi Galil y Giuseppe F. Italiano z Abstract We consider the problem of maintaining the 2-edgeconnected and the 3-edge-connected components of a graph undergoing repeated dynamic modifications, such as edge insertions and edge deletions. We show how to test at any time whether two vertices belong to the same 2-edge-connected component, and how to insert and delete an edge in O(m 2=3 ) time in the worst case, where m is the current number of edges in the graph. This answers a question... (Update)

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BibTeX entry:   (Update)

Z. Galil and G. Italiano, "Fully dynamic algorithms for edge connectivity problems," 23 rd Annual Symposium on Theory of Computing, pp. 317--327, (1991). http://citeseer.ist.psu.edu/galil91fully.html   More

@inproceedings{ galil91fully,
    author = "Zvi Galil and Giuseppe F. Italiano",
    title = "Fully dynamic algorithms for edge connectivity problems",
    pages = "317--327",
    year = "1991",
    url = "citeseer.ist.psu.edu/galil91fully.html" }
Citations (may not include all citations):
1450   The Design and Analysis of Computer Algorithms (context) - Aho, Hopcroft et al. - 1974
474   Graph Theory (context) - Harary - 1969
405   Depth-first search and linear graph algorithms (context) - Tarjan - 1972
136   Fast algorithms for finding nearest common ancestors (context) - Harel, Tarjan - 1984
127   A linear-time algorithm for a special case of disjoint set u.. (context) - Gabow, Tarjan - 1985
118   Data structures for on-line updating of minimum spanning tre.. (context) - Frederickson - 1985
77   Dividing a graph into triconnected components (context) - Hopcroft, Tarjan - 1973
77   An efficient parallel biconnectivity algorithm (context) - Tarjan, Vishkin - 1985
55   Worst case analysis of set union algorithms (context) - Tarjan, van Leeuwen - 1984
40   Maintaining bridge-connected and biconnected components onli.. (context) - Westbrook, Tarjan - 1989
32   A priority queue in which initialization and queue operation.. (context) - Johnson - 1982
23   line graph algorithms with SPQR-trees (context) - Di Battista, Tamassia - 1990
15   Maintaining biconnected components of dynamic planar graphs - Galil, Italiano - 1991
14   A topological approach to dynamic graph connectivity (context) - Reif - 1987
4   Personal communication (context) - Mehlhorn - 1990

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