### Abstract

Efficient implementations of Dijkstra's shortest path algorithm are investigated. A new data structure, called the radix heap, is proposed for use in this algorithm. On a network with n vertices, m edges, and nonnegative integer arc costs bounded by C, a one-level form of radix heap gives a time bound for Dijkstra's algorithm of O1990. A two-level form of radix heap gives a bound of O(m + n log C/log log C). A combination of a radix heap and a previously known data structure called a Fibonacci heap gives a bound of O(m + na @@@@log C). The best previously known bounds are O(m + n log n) using Fibonacci heaps alone and O(m log log C) using the priority queue structure of Van Emde Boas et al. [ 17].

Original language | English (US) |
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Pages (from-to) | 213-223 |

Number of pages | 11 |

Journal | Journal of the ACM (JACM) |

Volume | 37 |

Issue number | 2 |

DOIs | |

State | Published - Jan 4 1990 |

### All Science Journal Classification (ASJC) codes

- Software
- Control and Systems Engineering
- Information Systems
- Hardware and Architecture
- Artificial Intelligence

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## Cite this

*Journal of the ACM (JACM)*,

*37*(2), 213-223. https://doi.org/10.1145/77600.77615