JuliaGraphs / JuliaGraphs/GraphsMatching.jl

Are there any plans to implement the minimum weight perfect matching algorithm without using BlossomV?

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Description

Currently, the minimum weight perfect matching (MWPM) algorithm relies on BlossomV.jl, a wrapper around Kolmogorov's BlossomV software, which has a research-only, non-commercial license. I'm wondering if there are any plans to use an open-source version, such as a pure julia rewrite or a different implementation with a similar performance like the MWPM algorithm in LEMON (http://lemon.cs.elte.hu/pub/doc/latest-svn/index.html), with a much more permissive license? I realize that this issue has been raised in the past (see https://discourse.julialang.org/t/should-we-consider-bindeps-abandoned/23616 and https://github.com/mlewe/BlossomV.jl/pull/15), but I'm a new user and haven't found a follow-up on this issue. So, I figure it doesn't hurt to ask. Thanks a lot in advance!

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First steps

  1. Read the whole issue, then the project's contributing guide.
  2. Comment on the issue to say you are picking it up — it saves two people doing the same work.
  3. Fork the repository and make your change on a branch.
  4. Open a pull request that references the issue number.

Research direction

Start by reviewing how the current BlossomV.jl dependency is used and compare its licensing and performance constraints with the LEMON implementation or a pure Julia rewrite. Read the prior discussions linked in the issue, then define a permissively licensed replacement approach and validate that it preserves the required MWPM behavior and performance.

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Assessment

Tech stack
julia
Domain
backend
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
25/100

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