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On shortest paths and sorting

Ellis L. Johnson

Open publisher page 41 citations

Abstract

In finding shortest paths, the operation of finding, successively, a minimum from a list of numbers may require more work than the remainder of the algorithm. It is shown how algorithms from sorting literature can be used to accomplish this part of the shortest path algorithm. Bounds on the largest possible amount of work are established, and results of a computational study are reported.

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What this paper is about

In finding shortest paths, the operation of finding, successively, a minimum from a list of numbers may require more work than the remainder of the algorithm. It is shown how algorithms from sorting literature can be used to accomplish this part of the shortest path algorithm. Bounds on the largest possible amount of work are established, and results of a computational study are reported.

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OpenAlex reports 41 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In finding shortest paths, the operation of finding, successively, a minimum from a list of numbers may require more work than the remainder of the algorithm. It is shown how algorithms from sorting literature can be used to accomplish this part of the shortest path algorithm. Bounds on the largest possible amount of work are established, and results of a computational study are reported.

Key concepts: Sorting, Computer science, Parallel computing, Algorithm

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