## A New Approach to All-Pairs Shortest Paths on Real-Weighted Graphs (2003)

by
Seth Pettie

Venue: | Theoretical Computer Science |

Citations: | 26 - 2 self |

### BibTeX

@ARTICLE{Pettie03anew,

author = {Seth Pettie},

title = {A New Approach to All-Pairs Shortest Paths on Real-Weighted Graphs},

journal = {Theoretical Computer Science},

year = {2003},

volume = {312},

pages = {2004}

}

### Years of Citing Articles

### OpenURL

### Abstract

We present a new all-pairs shortest path algorithm that works with real-weighted graphs in the traditional comparison-addition model. It runs in O(mn+n time, improving on the long-standing bound of O(mn + n log n) derived from an implementation of Dijkstra's algorithm with Fibonacci heaps. Here m and n are the number of edges and vertices, respectively.