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Singer Island, FL

Oct. 24, 1984 to Oct. 26, 1984

ISBN: 0-8186-0591-X

pp: 417-424

R. Sedgewick , Brown University

ABSTRACT

We analyze a simple method for finding shortest paths in Euclidean graphs (where vertices are points in a Euclidean space and edge weights are distances between points). For many graph models, the running time of the algorithm to find the shortest path between a specified pair of vertices in a graph with V vertices and E edges is shown to be O(V) as compared with O (V log V + E) required by the classical (Dijkstra) algorithm.

CITATION

R. Sedgewick,
J.S. Vitter,
"Shortest Paths In Euclidean Graphs",

*FOCS*, 1984, 2013 IEEE 54th Annual Symposium on Foundations of Computer Science, 2013 IEEE 54th Annual Symposium on Foundations of Computer Science 1984, pp. 417-424, doi:10.1109/SFCS.1984.715943