New blog post and arxiv preprint: The graphs of stably matchable pairs, https://11011110.github.io/blog/2020/10/19/graphs-stably-matchable.html and https://arxiv.org/abs/2010.09230
(Github pages is being very flaky tonight so you may get told some files aren't there or have to reload to see them, but I hope it's just a temporary problem. If all you're missing is images, they're all somewhere in the arxiv preprint.)