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Alberto Santini
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## Selective Graph Colouring Problem | ||
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This repository contains the source code for heuristic and exact methods to solve the Selective Graph Colouring Problem. | ||
The reference paper for these algorithms is: | ||
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Fabio Furini, Enrico Malaguti, and Alberto Santini. Exact and euristic algorithms for the Partition Colouring Problem. Computers & Operations Resarch (under revision), 2017 | ||
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### Folder `source-code` | ||
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This folder contains the C++ source files. | ||
The various solution algorithms are: | ||
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* A branch-and-price algorithm (subfolder `branch-and-price`), used in the above paper | ||
* A representative-based MIP (subfolder `campelo-mip`) | ||
* A compact MIP formulation (subfolder `compact-mip`) | ||
* A decomposition method (subfolder `decomposition`) | ||
* Various heuristics (subfolder `heuristics`): | ||
* Greedy heuristics, used in the above paper | ||
* A Tabu Search algorithm, used in the above paper | ||
* An Adaptive Large Neighbourhood Search algorithm, used in the above paper | ||
* A Greedy Randomised Search Procedure | ||
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### Folder `instances` | ||
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This folder contains test instances from the literature. | ||
There are three test sets: `random`, `nsfnet`, and `ring`. | ||
The instance format is the following: | ||
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* The first line only has one number `n`, which is the number of vertices in the graph (numbered from `0` to `n-1`) | ||
* The second line only has one number `m`, which is the number of edges in the graph | ||
* The third line only has one number `p`, which is the number of clusters in the partition | ||
* The next `m` lines have two numbers, and represent the edges | ||
* The next `p` lines have at least 1 number, and represent the clusters | ||
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### License | ||
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This source code in this repository is released under the GPLv3.0 license, as detailed in the file `LICENSE.txt` |
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