Shortest paths in euclidean graphs

Robert Sedgewick, Jeffrey Scott Vitter

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

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.

Original languageEnglish (US)
Title of host publication25th Annual Symposium on Foundations of Computer Science, FOCS 1984
PublisherIEEE Computer Society
Pages417-424
Number of pages8
ISBN (Electronic)081860591X
StatePublished - 1984
Event25th Annual Symposium on Foundations of Computer Science, FOCS 1984 - Singer Island, United States
Duration: Oct 24 1984Oct 26 1984

Publication series

NameProceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS
Volume1984-October
ISSN (Print)0272-5428

Conference

Conference25th Annual Symposium on Foundations of Computer Science, FOCS 1984
Country/TerritoryUnited States
CitySinger Island
Period10/24/8410/26/84

All Science Journal Classification (ASJC) codes

  • General Computer Science

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