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Efficient Algorithms for Shortest Paths in Sparse Networks

Author:

Donald B. JohnsonAuthors Info & Claims

Journal of the ACM (JACM), Volume 24, Issue 1

Pages 1 - 13

https://doi.org/10.1145/321992.321993

Published: 01 January 1977 Publication History

Abstract

Algorithms for finding shortest paths are presented which are faster than algorithms previously known on networks which are relatively sparse in arcs. Known results which the results of this paper extend are surveyed briefly and analyzed. A new implementation for priority queues is employed, and a class of “arc set partition” algorithms is introduced. For the single source problem on networks with nonnegative arcs a running time of O(min(n^1+1/k + e, n + e) log n)) is achieved, where there are n nodes and e arcs, and k is a fixed integer satisfying k > 0. This bound is O(e) on dense networks. For the single source and all pairs problem on unrestricted networks the running time is O(min(n^2+1/k + ne, n² log n + ne log n).

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Index Terms

Efficient Algorithms for Shortest Paths in Sparse Networks
1. Mathematics of computing
  1. Discrete mathematics
    1. Graph theory
      1. Network flows
      2. Paths and connectivity problems
2. Theory of computation
  1. Design and analysis of algorithms
    1. Graph algorithms analysis
      1. Network flows

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Published In

cover image Journal of the ACM

Journal of the ACM Volume 24, Issue 1

Jan. 1977

175 pages

ISSN:0004-5411

EISSN:1557-735X

DOI:10.1145/321992

Issue’s Table of Contents

Copyright © 1977 ACM.

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 January 1977

Published in JACM Volume 24, Issue 1

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https://doi.org/10.3390/biomimetics9020101
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https://doi.org/10.2139/ssrn.4924877
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