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CORR
2012
Springer
195views Education» more  CORR 2012»
13 years 5 months ago
Multiple-Source Shortest Paths in Embedded Graphs
Let G be a directed graph with n vertices and non-negative weights in its directed edges, embedded on a surface of genus g, and let f be an arbitrary face of G. We describe an alg...
Sergio Cabello, Erin W. Chambers, Jeff Erickson
ISAAC
2009
Springer
113views Algorithms» more  ISAAC 2009»
15 years 2 months ago
On Shortest Disjoint Paths in Planar Graphs
For a graph G and a collection of vertex pairs {(s1, t1), . . . , (sk, tk)}, the k disjoint paths problem is to find k vertex-disjoint paths P1, . . . , Pk, where Pi is a path fr...
Yusuke Kobayashi, Christian Sommer 0002
CDC
2009
IEEE
151views Control Systems» more  CDC 2009»
15 years 2 months ago
Shortest path optimization under limited information
— The problem of finding an optimal path in an uncertain graph arises in numerous applications, including network routing, path-planning for vehicles, and the control of finite...
Michael Rinehart, Munther A. Dahleh
ACSC
2007
IEEE
15 years 4 months ago
Improved Shortest Path Algorithms For Nearly Acyclic Directed Graphs
This paper presents new algorithms for computing single source shortest paths (SSSPs) in a nearly acyclic directed graph G. The first part introduces higher-order decomposition. ...
Lin Tian, Tadao Takaoka
COCOON
1999
Springer
15 years 1 months ago
An External Memory Data Structure for Shortest Path Queries
We present results related to satisfying shortest path queries on a planar graph stored in external memory. Let N denote the number of vertices in the graph and let sort(N) denote...
David A. Hutchinson, Anil Maheshwari, Norbert Zeh