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add main backtracking/max_colors_example #13856

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add main backtracking/max_colors_example #13856

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54f920c
add main backtracking/max_colors_example
khanhkhanhlele Nov 3, 2025
3299e80
[pre-commit.ci] auto fixes from pre-commit.com hooks
pre-commit-ci[bot] Nov 3, 2025
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20 changes: 20 additions & 0 deletions backtracking/coloring.py
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Original file line number Diff line number Diff line change
Expand Up @@ -111,3 +111,23 @@ def color(graph: list[list[int]], max_colors: int) -> list[int]:
return colored_vertices

return []


if __name__ == "__main__":
# Example graph represented as an adjacency matrix
graph_example = [
[0, 1, 0, 0, 0],
[1, 0, 1, 0, 1],
[0, 1, 0, 1, 0],
[0, 0, 1, 0, 1],
[0, 1, 0, 1, 0],
]

max_colors_example = 3
coloring_result = color(graph_example, max_colors_example)
if coloring_result:
print(
f"Graph can be colored with {max_colors_example} colors: {coloring_result}"
)
else:
print(f"Graph cannot be colored with {max_colors_example} colors.")