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Add 10 graph algorithms with comprehensive tests#14315

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gangs2314 wants to merge 2 commits intoTheAlgorithms:masterfrom
gangs2314:add-10-graph-algorithms
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Add 10 graph algorithms with comprehensive tests#14315
gangs2314 wants to merge 2 commits intoTheAlgorithms:masterfrom
gangs2314:add-10-graph-algorithms

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@gangs2314
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@gangs2314 gangs2314 commented Mar 1, 2026

New Algorithms:

  1. Floyd-Warshall (all-pairs shortest path) - O(V³)
  2. Johnson's Algorithm (sparse graph all-pairs) - O(V² log V + VE)
  3. Hopcroft-Karp (maximum bipartite matching) - O(E√V)
  4. Ford-Fulkerson with Edmonds-Karp (max flow) - O(VE²)
  5. Push-Relabel (faster max flow) - O(V²√E)
  6. 2-SAT Solver (using SCC) - O(V + E)
  7. Chinese Postman Problem (route inspection) - O(V³ + 2^k k²)
  8. Traveling Salesman (Held-Karp DP) - O(n² 2ⁿ)
  9. Heavy-Light Decomposition (path queries) - O(n log² n)
  10. Maximum Bipartite Independent Set - O(E√V)

All algorithms include:

  • Type hints and docstrings with complexity analysis
  • Doctests with examples
  • Comprehensive pytest test suite (50+ tests)

Test coverage: Added 50+ unit tests

Describe your change:

  • Add an algorithm?
  • Fix a bug or typo in an existing algorithm?
  • Add or change doctests? -- Note: Please avoid changing both code and tests in a single pull request.
  • Documentation change?

Checklist:

  • I have read CONTRIBUTING.md.
  • This pull request is all my own work -- I have not plagiarized.
  • I know that pull requests will not be merged if they fail the automated tests.
  • This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms.
  • All new Python files are placed inside an existing directory.
  • All filenames are in all lowercase characters with no spaces or dashes.
  • All functions and variable names follow Python naming conventions.
  • All function parameters and return values are annotated with Python type hints.
  • All functions have doctests that pass the automated testing.
  • All new algorithms include at least one URL that points to Wikipedia or another similar explanation.
  • If this pull request resolves one or more open issues then the description above includes the issue number(s) with a closing keyword: "Fixes #ISSUE-NUMBER".

gangs2314 and others added 2 commits March 1, 2026 13:58
New Algorithms:
1. Floyd-Warshall (all-pairs shortest path) - O(V³)
2. Johnson's Algorithm (sparse graph all-pairs) - O(V² log V + VE)
3. Hopcroft-Karp (maximum bipartite matching) - O(E√V)
4. Ford-Fulkerson with Edmonds-Karp (max flow) - O(VE²)
5. Push-Relabel (faster max flow) - O(V²√E)
6. 2-SAT Solver (using SCC) - O(V + E)
7. Chinese Postman Problem (route inspection) - O(V³ + 2^k k²)
8. Traveling Salesman (Held-Karp DP) - O(n² 2ⁿ)
9. Heavy-Light Decomposition (path queries) - O(n log² n)
10. Maximum Bipartite Independent Set - O(E√V)

All algorithms include:
- Type hints and docstrings with complexity analysis
- Doctests with examples
- Comprehensive pytest test suite (50+ tests)

Test coverage: Added 50+ unit tests
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Closing this pull request as invalid

@gangs2314, this pull request is being closed as none of the checkboxes have been marked. It is important that you go through the checklist and mark the ones relevant to this pull request. Please read the Contributing guidelines.

If you're facing any problem on how to mark a checkbox, please read the following instructions:

  • Read a point one at a time and think if it is relevant to the pull request or not.
  • If it is, then mark it by putting a x between the square bracket like so: [x]

NOTE: Only [x] is supported so if you have put any other letter or symbol between the brackets, that will be marked as invalid. If that is the case then please open a new pull request with the appropriate changes.

@algorithms-keeper algorithms-keeper bot added invalid awaiting reviews This PR is ready to be reviewed labels Mar 1, 2026
@algorithms-keeper algorithms-keeper bot closed this Mar 1, 2026
@algorithms-keeper algorithms-keeper bot removed the awaiting reviews This PR is ready to be reviewed label Mar 1, 2026
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