We study novel combinatorial properties of graphs that allow us to devise a completely new approach to dynamic all pairs shortest paths problems. Our approach yields a fully dynamic algorithm for general directed graphs with non-negative real-valued edge weights that supports any sequence of operations in O(n2 log3 n) amortized time per update and unit worst-case time per distance query, where n is the number of vertices. We can also report shortest paths in optimal worst-case time. These bounds improve substantially over previous results and solve a long-standing open problem. Our algorithm is deterministic, uses simple data structures, and appears to be very fast in practice
We consider the problem of maintaining a solution to the All Pairs Shortest Paths Problem in a direc...
AbstractWe propose data structures for maintaining shortest paths in planar graphs in which the weig...
Considering directed graphs on n vertices and m edges with real (possibly negative) weights, we pres...
We study novel combinatorial properties of graphs that allow us to devise a completely new approach ...
We present the first fully dynamic algorithm for maintaining all pairs shortest paths in directed gr...
AbstractWe present the first fully dynamic algorithm for maintaining all pairs shortest paths in dir...
Let G be a directed graph with n vertices, subject to dynamic updates, and such that each edge weigh...
Abstract. We obtain the following results related to dynamic versions of the shortest-paths problem:...
We revisit the classic problem of dynamically maintaining shortest paths between all pairs of nodes ...
We consider the problem of dynamically maintaining a solution of all pairs shortest paths in a direc...
AbstractWe study the fully-dynamic all pairs shortest path problem for graphs with arbitrary non-neg...
For any fixed 1 > [epsilon] > 0 we present a fully dynamic algorithm for maintaining (2 + [epsilon])...
This paper presents the first fully dynamic algorithms for maintaining all-pairs shortest paths in d...
We present two new and efficient algorithms for computing all-pairs shortest paths. The algorithms o...
In the dynamic all-pairs shortest path problem we wish to maintain information about distances in a ...
We consider the problem of maintaining a solution to the All Pairs Shortest Paths Problem in a direc...
AbstractWe propose data structures for maintaining shortest paths in planar graphs in which the weig...
Considering directed graphs on n vertices and m edges with real (possibly negative) weights, we pres...
We study novel combinatorial properties of graphs that allow us to devise a completely new approach ...
We present the first fully dynamic algorithm for maintaining all pairs shortest paths in directed gr...
AbstractWe present the first fully dynamic algorithm for maintaining all pairs shortest paths in dir...
Let G be a directed graph with n vertices, subject to dynamic updates, and such that each edge weigh...
Abstract. We obtain the following results related to dynamic versions of the shortest-paths problem:...
We revisit the classic problem of dynamically maintaining shortest paths between all pairs of nodes ...
We consider the problem of dynamically maintaining a solution of all pairs shortest paths in a direc...
AbstractWe study the fully-dynamic all pairs shortest path problem for graphs with arbitrary non-neg...
For any fixed 1 > [epsilon] > 0 we present a fully dynamic algorithm for maintaining (2 + [epsilon])...
This paper presents the first fully dynamic algorithms for maintaining all-pairs shortest paths in d...
We present two new and efficient algorithms for computing all-pairs shortest paths. The algorithms o...
In the dynamic all-pairs shortest path problem we wish to maintain information about distances in a ...
We consider the problem of maintaining a solution to the All Pairs Shortest Paths Problem in a direc...
AbstractWe propose data structures for maintaining shortest paths in planar graphs in which the weig...
Considering directed graphs on n vertices and m edges with real (possibly negative) weights, we pres...