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DOI: 10.14569/IJACSA.2019.0100159
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An Efficient Algorithm for Enumerating all Minimal Paths of a Graph

Author 1: Khalid Housni

International Journal of Advanced Computer Science and Applications(IJACSA), Volume 10 Issue 1, 2019.

  • Abstract and Keywords
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Abstract: The enumeration of all minimal paths between a terminal pair of a given graph is widely used in a lot of applications such as network reliability assessment. In this paper, we present a new and efficient algorithm to generate all minimal paths in a graph G(V, E). The algorithm proposed builds the set of minimal paths gradually, starting from the source nodes. We present two versions of our algorithm; the first version determines all feasible paths between a pair of terminals in a directed graph without cycle, and this version runs in linear time O(|V| + |E|). The second version determines all minimal paths in a general graph (directed and undirected graph). In order to show the process and the effectiveness of our method, an illustrative example is presented for each case.

Keywords: Minimal path; network reliability; linked path struc-ture; recursive algorithm

Khalid Housni, “An Efficient Algorithm for Enumerating all Minimal Paths of a Graph” International Journal of Advanced Computer Science and Applications(IJACSA), 10(1), 2019. http://dx.doi.org/10.14569/IJACSA.2019.0100159

@article{Housni2019,
title = {An Efficient Algorithm for Enumerating all Minimal Paths of a Graph},
journal = {International Journal of Advanced Computer Science and Applications},
doi = {10.14569/IJACSA.2019.0100159},
url = {http://dx.doi.org/10.14569/IJACSA.2019.0100159},
year = {2019},
publisher = {The Science and Information Organization},
volume = {10},
number = {1},
author = {Khalid Housni}
}



Copyright Statement: This is an open access article licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, even commercially as long as the original work is properly cited.

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