A dynamization of the all pairs least cost path problem
Proceedings on STACS 85 2nd annual symposium on theoretical aspects of computer science
High probability parallel transitive-closure algorithms
SIAM Journal on Computing
Incremental algorithms for minimal length paths
Journal of Algorithms
On the computational complexity of dynamic graph problems
Theoretical Computer Science
An incremental algorithm for a generalization of the shortest-path problem
Journal of Algorithms
Faster shortest-path algorithms for planar graphs
Journal of Computer and System Sciences - Special issue: 26th annual ACM symposium on the theory of computing & STOC'94, May 23–25, 1994, and second annual Europe an conference on computational learning theory (EuroCOLT'95), March 13–15, 1995
Randomized fully dynamic graph algorithms with polylogarithmic time per operation
Journal of the ACM (JACM)
An On-Line Edge-Deletion Problem
Journal of the ACM (JACM)
Fully dynamic algorithms for maintaining shortest paths trees
Journal of Algorithms
Mathematics for the Analysis of Algorithms
Mathematics for the Analysis of Algorithms
All pairs shortest paths using bridging sets and rectangular matrix multiplication
Journal of the ACM (JACM)
Maintaining Minimum Spanning Forests in Dynamic Graphs
SIAM Journal on Computing
Fully dynamic biconnectivity and transitive closure
FOCS '95 Proceedings of the 36th Annual Symposium on Foundations of Computer Science
Fully Dynamic Algorithms for Maintaining All-Pairs Shortest Paths and Transitive Closure in Digraphs
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
Planar Graphs, Negative Weight Edges, Shortest Paths, and Near Linear Time
FOCS '01 Proceedings of the 42nd IEEE symposium on Foundations of Computer Science
Experimental analysis of dynamic all pairs shortest path algorithms
SODA '04 Proceedings of the fifteenth annual ACM-SIAM symposium on Discrete algorithms
A new approach to dynamic all pairs shortest paths
Journal of the ACM (JACM)
Worst-case update times for fully-dynamic all-pairs shortest paths
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
Fully dynamic all pairs shortest paths with real edge weights
Journal of Computer and System Sciences - Special issue on FOCS 2001
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In this paper, we survey algorithms for shortest paths in dynamic networks. Although research on this problem spans over more than three decades, in the last couple of years many novel algorithmic techniques have been proposed. In this survey, we will make a special effort to abstract some combinatorial and algebraic properties, and some common data-structural tools that are at the base of those techniques. This will help us try to present some of the newest results in a unifying framework so that they can be better understood and deployed also by non-specialists.