[+] Shortest Paths in Dense Distance Graphs |
This lecture begins with a brief discussion of the incision technique, and of r-divisions. The main topic of this lecture is an implementation of Dijkstra's algorithm on dense distance graphs, due to Fakcharoenphol and Rao. The running time is nearly linear in the number of vertices of the DDG, rather than in the number of edges as in a naive implementation of Dijkstra's algorithm. |
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