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Add graph colouring #11760

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Describe your change:

  • Add an algorithm: Implemented the Graph Coloring algorithm using backtracking. This algorithm assigns colors to vertices of a graph such that no two adjacent vertices share the same color.

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.
  • All new Python files are placed inside an existing directory.
  • All filenames are in lowercase 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.

@algorithms-keeper algorithms-keeper bot added the require descriptive names This PR needs descriptive function and/or variable names label Oct 4, 2024
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Click here to look at the relevant links ⬇️

🔗 Relevant Links

Repository:

Python:

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"""


def is_safe(graph: list[list[int]], color: list[int], v: int, c: int) -> bool:

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Please provide descriptive name for the parameter: v

Please provide descriptive name for the parameter: c



def graph_coloring_util(
graph: list[list[int]], m: int, color: list[int], v: int

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Please provide descriptive name for the parameter: m

Please provide descriptive name for the parameter: v

return False


def graph_coloring(graph: list[list[int]], m: int) -> bool:

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Please provide descriptive name for the parameter: m

@algorithms-keeper algorithms-keeper bot added the awaiting reviews This PR is ready to be reviewed label Oct 4, 2024
@algorithms-keeper algorithms-keeper bot removed the require descriptive names This PR needs descriptive function and/or variable names label Oct 4, 2024
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