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Hi there, and welcome to the wiki about Hard Instances of Graph 3-(vertex)-Colouring. Over the years I've thought a lot about this, and this wiki is where I'm storing my thoughts, speculations, and explanations. And in due course, results. Here is the place to start: * High-level overview Here are other pieces which will be moved about as this document settles: * Introduction * Motivation * The Erdos-Renyi model * The Matching-by-Matching model