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feat(graph): Implement D'Esopo–Pape algorithm for shortest paths #3039

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@shimmer12 shimmer12 commented Oct 11, 2025
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This implementation adds the D’Esopo–Pape (Pape) algorithm for single-source shortest paths on graphs with non-negative edge weights, using a deque to prioritize vertex processing. It also includes unit tests that validate correctness on example graphs.

Description of Change

  • Implemented D’Esopo–Pape SSSP using a deque-based relaxation order.
  • Added adjacency construction helper and example driver.
  • Provided assert-based unit tests for sample cases.
  • Documented approach, complexity, and assumptions (non-negative weights) with Doxygen comments.

Checklist

  • Added description of change
  • Added file name matches File name guidelines
  • Added tests and example, test must pass
  • Added documentation so that the program is self-explanatory and educational - Doxygen guidelines
  • Relevant documentation/comments is changed or added
  • PR title follows semantic commit guidelines
  • Search previous suggestions before making a new one, as yours may be a duplicate.
  • I acknowledge that all my contributions will be made under the project's license.

Notes: Adds deque-based Pape SSSP with tests and Doxygen; assumes non-negative weights and supports directed/undirected via adjacency setup.

This implementation includes the D'Esopo–Pape algorithm for finding single-source shortest paths in a graph with non-negative edge weights, utilizing a deque for efficient processing. It also contains unit tests to verify the correctness of the algorithm with example graphs.
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