Abstract-Dynamic routing protocols such as RIP and OSPF essentially implement distributed algorithms for solving the Shortest Paths Problem. The Border Gateway Protocol (BGP) is cu...
Timothy Griffin, F. Bruce Shepherd, Gordon T. Wilf...
We observe that the classical maximum flow problem in any directed planar graph G can be reformulated as a parametric shortest path problem in the oriented dual graph G . This ref...
We obtain the following results related to dynamic versions of the shortest-paths problem: (i) Reductions that show that the incremental and decremental singlesource shortest-paths...
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 ...
This a summary of the author's PhD thesis supervised by Leo Liberti, Philippe Baptiste and Daniel Krob and defended on 18 June 2009 at Ecole Polytechnique, Palaiseau, France. ...