Commentary by Chris Pressey =========================== This work is distributed under a CC-BY-ND-4.0 license, with the following explicit exception: the ratings may be freely used for any purpose with no limitations. Combinatorics --------------- ### Introductory Combinatorics * rating: 1 Looks interesting -- it's interesting how close combinatorics is to discrete math. ### Analytic Combinatorics * rating: 1 Has a lot which is beyond me, but there's some good stuff in here. ### Introduction to Random Graphs * rating: 0 Has a lot which is beyond me, but random graphs are obviously interesting and important, and it goes into a few applications and things. ### Boltzmann Samplers for the Random Generation of Combinatorial Structures * rating: 3 When you are writing some _ad hoc_ code to generate a random structure -- for example, for a property test, or for [NaNoGenMo](https://github.com/NaNoGenMo/) -- there are two things you realize sooner or later: * If the resulting structure doesn't have the properties you want, you can throw it out and start over. * If the structure is recursive, you need to be careful about the probability of recursing; if it's too high, there is a tendency for your structures to grow indefinitely. The theory of Boltzmann Samplers formalizes these two things. ### What Lies Between Order and Chaos? * rating: 3 Not technical -- a certain amount of philosophizing, popularizing, and reminiscing. ### The Math of Card Shuffling * rating: 1 The page is written in Idyll, a markup format similar to Markdown for producing documents similar to Jupyter Notebooks. ### Young\'s lattice - Wikipedia, the free encyclopedia * rating: TODO . ### Costas array - Wikipedia, the free encyclopedia * rating: TODO . ### probability - Rigorous nature of combinatorics - Mathematics Stack Exchange * rating: 1 . ### Combinatorial auction - Wikipedia * rating: TODO . ### File:Derangement4.png - Wikimedia Commons * rating: 0 . ### Connections between topology and combinatorics - Mathematics Stack Exchange * rating: 1 . ### Possible number of open sets in a topology - Mathematics Stack Exchange * rating: 1 . ### Heaps\' law - Wikipedia * rating: TODO . ### Assembly theory - Wikipedia * rating: TODO . ### Union-closed sets conjecture - Wikipedia * rating: TODO . ### DesignTheory.org (theoretical, computational, and statistical aspects of combinatorial designs) * rating: 1 .