# Quasi-Stable Coloring

Graph compression for performant approximations

QuasiStableColors.jl is a library for compressing graphs and approximating graph algorithms. The compressed graphs are computed using an algorithm called quasi-stable coloring, which results in a much smaller graph while preserving its key properties. We introduce this approach in our research paper "Quasi-stable Coloring for Graph Compression."

A major advantage of this approach is that many algorithms can be computed directly on the compressed graph, without needing decompression. This results in an effective approximation of many graph algorithms. Applications implemented in this library are:

• Betweenness centrality
• Maximum-flow/minimum-cut
• Linear optimization

## Publication

The details of this work are available in our paper "Quasi-stable Coloring for Graph Compression." This includes theoretical analysis, the algorithm and experimental results.

If you use this library, we ask that you cite our paper:

@article {q-stable-coloring,
title = {Quasi-stable Coloring for Graph Compression: Approximating Max-Flow, Linear Programs, and Centrality},
author = {Moe Kayali and Dan Suciu},
journal = {Proc. VLDB Endow.},
volume = {16},
number = {4},
year = {2022},
}

Quasi-stabling coloring was developed within the databases group at the University of Washington, Seattle.

## Resources

• Tutorial: Start here! Examples and code to get started with using this library.
• Reference: Reference documentation for all the public functions of this library can be found in the API section. Specific sections explain the applications: maximum-flow/minimum-cut problems, betweenness centrality computation and linear optimization.
• Researchers' Guide: Want to extend quasi-stable coloring to a new domain? Perhaps you want to develop a variant of approximate colorings? The Internals section covers these topics.
• Questions? Ask questions and report bugs using Github issues.