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Find all the minimal separators of a graph #37743

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sanskarfc opened this issue Apr 4, 2024 · 4 comments · May be fixed by #39341
Open
1 task done

Find all the minimal separators of a graph #37743

sanskarfc opened this issue Apr 4, 2024 · 4 comments · May be fixed by #39341
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c: graph theory t: enhancement

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@sanskarfc
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sanskarfc commented Apr 4, 2024 •
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Problem Description

Implement a function to find the list of all the minimal separators of a graph based on Berry's algorithm.

Proposed Solution

Implement the algorithm from this paper for finding all the minimal separators of a graph: https://doi.org/10.1007/3-540-46784-X_17

Alternatives Considered

Some other alternatives were considered, but the most useful use case at the time was to find all the minimal separators in one go for which, Berry's algorithm seemed fit.

Additional Information

No response

Is there an existing issue for this?

  • I have searched the existing issues for a bug report that matches the one I want to file, without success.
@dcoudert
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dcoudert commented Apr 4, 2024

This is certainly a good idea to add a method for generating these separators.

@sanskarfc
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Great! I already have the algorithm written down. I will add a PR asap and link it here.

@sanskarfc
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@dcoudert Where do you think I should add this function for the PR? The algorithm can be found on this gist.

@dcoudert
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may be in file src/sage/graphs/connectivity.pyx

@dcoudert dcoudert linked a pull request Jan 18, 2025 that will close this issue
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add an iterator over the minimal separators of a graph dcoudert/sage
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@dcoudert @sanskarfc