JuliaGraphs / JuliaGraphs/GraphsOptim.jl

Optimal proper coloring, chromatic number, fractional chromatic number

Open
#5 2 comments 0 reactions 0 assignees View on GitHub

Nobody has claimed this yet.

enhancement
Dominant language
Julia
Stars
22
Forks
8
PR merge metrics
No merged PRs in 30d

Description

Would you be open to a pull request implementing an algorithm for chromatic number and another for fractional chromatic number? The former uses PicoSAT and the latter would use some linear programming solver, perhaps GLPK via JuMP. The chromatic number implementation is here, if you want to take a quick peek: https://gist.github.com/dstahlke/8e4fd40fa845e792ff7cd3f6b4ccb124

Contributor guide

Open the contributing guide

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 the chromatic-number implementation in the linked GitHub gist and the repository's existing Julia package structure. Determine the intended PicoSAT and linear-programming solver integrations, then define and test both chromatic-number and fractional-chromatic-number algorithms; done means both are available through the package with verified results.

Written by the indexing model from the issue text.

Assessment

Tech stack
julia
Domain
data
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Mostly clear
Newbie friendliness
25/100

Get new issues in your inbox

A short digest of beginner-friendly GitHub issues.