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# OptimalBranchingCore | ||
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[![Stable](https://img.shields.io/badge/docs-stable-blue.svg)](https://ArrogantGao.github.io/OptimalBranchingCore.jl/stable/) | ||
[![Dev](https://img.shields.io/badge/docs-dev-blue.svg)](https://ArrogantGao.github.io/OptimalBranchingCore.jl/dev/) | ||
[![Build Status](https://github.com/ArrogantGao/OptimalBranchingCore.jl/actions/workflows/CI.yml/badge.svg?branch=main)](https://github.com/ArrogantGao/OptimalBranchingCore.jl/actions/workflows/CI.yml?query=branch%3Amain) | ||
[![Coverage](https://codecov.io/gh/ArrogantGao/OptimalBranchingCore.jl/branch/main/graph/badge.svg)](https://codecov.io/gh/ArrogantGao/OptimalBranchingCore.jl) | ||
Core functions and types for the optimal branching method. One can use it separately or as part of the `OptimalBranching` package. | ||
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## Usage | ||
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`OptimalBranchingCore` provides the basis tools for developing a branching algorithm, by dividing the branching process into the following steps: | ||
* Reduction of the problem | ||
* Generation of the branches | ||
* Applying the branching rules on the problem | ||
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For the optimal branching method, the generation of the branches is further divided into the following sub-steps: | ||
* Solving the branching table | ||
* Pruning the branches | ||
* Selecting the optimal branching rule via the set covering solver | ||
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For more details, please refer to the [docs](). |
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# OptimalBranchingMIS | ||
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[![Stable](https://img.shields.io/badge/docs-stable-blue.svg)](https://ArrogantGao.github.io/OptimalBranchingMIS.jl/stable/) | ||
[![Dev](https://img.shields.io/badge/docs-dev-blue.svg)](https://ArrogantGao.github.io/OptimalBranchingMIS.jl/dev/) | ||
[![Build Status](https://github.com/ArrogantGao/OptimalBranchingMIS.jl/actions/workflows/CI.yml/badge.svg?branch=main)](https://github.com/ArrogantGao/OptimalBranchingMIS.jl/actions/workflows/CI.yml?query=branch%3Amain) | ||
[![Coverage](https://codecov.io/gh/ArrogantGao/OptimalBranchingMIS.jl/branch/main/graph/badge.svg)](https://codecov.io/gh/ArrogantGao/OptimalBranchingMIS.jl) | ||
`OptimalBranchingMIS` is a developed based on `OptimalBranchingCore` for the optimal branching method on the maximum independent set (MIS) problem. | ||
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## Usage | ||
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In this pacakge a set of tools for MIS problem has been provided, including: | ||
* `MISProblem`: the problem type for MIS | ||
* `MISReducer`: the reducer for MIS | ||
* `MISSize` & `MISCount`: different types for the results, returning the size of the maximum independent set or together with the count of branches | ||
* `MinBoundarySelector`: the selectors for the minimum boundary size | ||
* `NumofVertex` & `D3Measure`: different measures for the MIS problem | ||
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Additionally, we provide `counting_mis1` and `counting_mis2` functions for counting the maximum independent sets, which are based on the `EliminateGraphs` package. | ||
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For more details, please refer to the [docs](). |