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Faster algorithms for the shortest path problem
Open accessAbstract
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 O ( m + n log C ). 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 + n a @@@@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].
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Cited by
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Metadata
- Authors
- Ahuja, R. K., Mehlhorn, K., Orlin, J., & Tarjan, R. E.
- Venue
- Journal of the ACM
- Published
- 1990-04
- Volume
- 37
- Issue
- 2
- Pages
- 213-223
- ISSN
- 0004-5411 (ISSN-L)
- 1557-735X
- OpenAlex
- W2160365857
- Cited by
- 554
- References
- 0
- FWCI
- 11.22
- Type
- journal article
- Language
- en
- Open access
- bronze
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- CoChat. (2026). Citation check: Faster algorithms for the shortest path problem. https://app.cochat.ai/papers/10.1145/77600.77615
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- Ahuja, R. K., Mehlhorn, K., Orlin, J., & Tarjan, R. E. (1990). Faster algorithms for the shortest path problem. Journal of the ACM. https://doi.org/10.1145/77600.77615
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