David Eppstein, Giuseppe F. Italiano, Roberto Tamassia, Robert E. Tarjan, Jeffery Westbrook, Moti Yung  Home/Search
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Abstract: We give an efficient algorithm for maintaining a minimum spanning forest of a plane graph subject to on-line modifications. The modifications supported include changes in the edge weights, and insertion and deletion of edges and vertices which are consistent with the given embedding. Our algorithm runs in O(log n) time per operation and O(n) space. (Update)
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BibTeX entry: (Update)
D. Eppstein, G. F. Italiano, R. Tamassia, R. E. Tarjan, J. Westbrook, and M. Yung, Maintenance of a minimum spanning forest in a dynamic planar graph, J. Algorithms, 13 (1992), pp. 33--54. http://citeseer.ist.psu.edu/eppstein92maintenance.html More
@inproceedings{ eppstein90maintenance,
author = "David Eppstein and Giuseppe F. Italiano and Roberto Tamassia and Robert Endre Tarjan and Jeffery Westbrook and Moti Yung",
title = "Maintenance of a Minimum Spanning Forest in a Dynamic Planar Graph",
booktitle = "Symposium on Discrete Algorithms",
pages = "1-11",
year = "1990",
url = "citeseer.ist.psu.edu/eppstein92maintenance.html" }
Citations (may not include all citations):474 Graph Theory (context) - Harary - 1972
257 Primitives for the manipulation of general subdivisions and .. (context) - Guibas, Stolfi - 1985
192 Self-adjusting binary search trees (context) - Sleator, Tarjan - 1985
183 A data structure for dynamic trees (context) - Sleator, Tarjan - 1983
164 Society for Industrial and Applied Mathematics (context) - Tarjan, Network - 1983
135 and graph planarity using PQ-tree algorithms (context) - Booth, Lueker et al. - 1976
118 Data structures for on-line updating of minimum spanning tre.. (context) - Frederickson - 1985
117 Efficient planarity testing (context) - Hopcroft, Tarjan - 1974
80 Amortized computational complexity (context) - Tarjan - 1985
75 A linear algorithm for embedding planar graphs using PQ-tree.. (context) - Chiba, Nishizeki et al. - 1985
50 Incremental algorithms for minimal length paths (context) - Ausiello, Italiano et al. - 1990
50 line edge deletion problem (context) - Even, Shiloach - 1981
37 Finding minimum spanning trees (context) - Cheriton, Tarjan - 1976
36 Graph Theory (context) - Tutte - 1984
33 Updating distances in dynamic graphs (context) - Even, Gazit - 1985
31 On finding and updating spanning trees and shortest paths (context) - Spira, Pan - 1975
30 Incremental planarity testing (context) - Battista, Tamassia - 1989
30 Finding paths and deleting edges in directed acyclic graphs (context) - Italiano - 1988
27 Amortized efficiency of a path retrieval data structure (context) - Italiano - 1986
27 line computation of transitive closure for graphs (context) - Ibaraki, Katoh - 1983
26 Maintenance of transitive closure and transitive reduction o.. - Poutr'e, van Leeuwen - 1988
20 Sensitivity analysis of minimum spanning trees and shortest .. (context) - Tarjan - 1982
18 A dynamic data structure for planar graph embedding (context) - Tamassia - 1988
18 A dynamization of the all pairs least cost path problem (context) - Rohnert - 1985
14 A topological approach to dynamic graph connectivity (context) - Reif - 1987
14 Algorithms for updating minimum spanning trees (context) - Chin, Houck - 1978
13 Efficient algorithms for graphic matroid intersection and pa.. (context) - Gabow, Stallmann - 1985
6 Use of dynamic trees in a network simplex algorithm for the .. (context) - Goldberg, Grigoriadis et al.
6 Fully dynamic techniques for point location and transitive c.. (context) - Preparata, Tamassia - 1988
5 Dynamic data structures for series parallel digraphs (context) - Italiano, Spaccamela et al. - 1989
4 A dynamic transitive closure algorithm (context) - Yellin - 1988
4 line maintenance of the connected components of dynamic grap.. (context) - Harel - 1982
1 Department of Computer Science (context) - Battista, Tamassia et al. - 1989
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://www.ics.uci.edu/~eppstein/pubs/graph-dyn.html):
Dynamic Connectivity in Digital Images - Eppstein (1996) (Correct)
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