(Enter summary)
Abstract: This paper presents the first fully dynamic algorithms for
maintaining all-pairs shortest paths in digraphs with positive
integer weights less than b. For approximate shortest
paths with an error factor of (2 + ffl), for any positive constant
ffl, the amortized update time is O(n
2
log
2
n= log log n);
for an error factor of (1 + ffl) the amortized update time is
O(n
2
log
3
(bn)=ffl
2
). For exact shortest paths the amortized
update time is O(n
2:5
p
b log n). Query time for... (Update)
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BibTeX entry: (Update)
V. King. Fully dynamic algorithms for maintaining all-pairs shortest paths and transitive closure in digraphs. In Proc. 40th Annual Symposium on Foundations of Computer Science (FOCS'99), pages 81--89, 1999. http://citeseer.ist.psu.edu/article/king99fully.html More
@inproceedings{ king99fully,
author = "Valerie King",
title = "Fully Dynamic Algorithms for Maintaining All-Pairs Shortest Paths and Transitive Closure in Digraphs",
booktitle = "{IEEE} Symposium on Foundations of Computer Science",
pages = "81-91",
year = "1999",
url = "citeseer.ist.psu.edu/article/king99fully.html" }
Citations (may not include all citations):
308
Matrix multiplication via arithmetic progressions (context) - Coppersmith, Winograd - 1990
50
Incremental algorithm for minimal length paths (context) - Ausiello, Italiano et al. - 1990
49
An incremental algorithm for a generalization of the shortes..
- Ramalingam, Reps - 1996
45
Proximity search in databases
- Goldman, Shivakumar et al. - 1998
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
26
Maintenance of transitive closure and transitive reduction o..
- Poutr, van Leeuwen - 1988
26
Lower bounds for fully dynamic connectivity problems in grap..
- Henzinger, Fredman - 1998
26
the computational complexity of dynamic graph problems
- Reps, Ramalingam - 1996
22
All pairs shortest paths in weighted directed graphs--exact ..
- Zwick - 1998
15
A data structure for arc insertion and regular path finding (context) - Buchsbaum, Kanellakis et al. - 1991
15
A fully dynamic algorithm for maintaining the transitive clo..
- King, Sagert - 1999
9
Experimental analysis of dynamic algorithms for the singleso..
- Frigioni, Ioffreda et al. - 1998
2
Fully dynamic biconnectivity and transtive closure (context) - Henzinger, King - 1995
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