Combinatorics
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[(Up)](../../README.md#topics) | _See also: [Mathematics](../Mathematics/README.md#mathematics)_

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### Web resources

[The Math of Card Shuffling](https://fredhohman.com/card-shuffling/) ★ [💭](commentary/Chris%20Pressey.md#the-math-of-card-shuffling)

[Young\'s lattice - Wikipedia, the free encyclopedia](https://en.wikipedia.org/wiki/Young%27s_lattice)

[Costas array - Wikipedia, the free encyclopedia](https://en.wikipedia.org/wiki/Costas_array#Welch)

[probability - Rigorous nature of combinatorics - Mathematics Stack Exchange](https://math.stackexchange.com/questions/2321757/rigorous-nature-of-combinatorics) ★

[Combinatorial auction - Wikipedia](https://en.wikipedia.org/wiki/Combinatorial_auction)

[File:Derangement4.png - Wikimedia Commons](https://commons.wikimedia.org/wiki/File:Derangement4.png)

[Connections between topology and combinatorics - Mathematics Stack Exchange](https://math.stackexchange.com/questions/4182377/connections-between-topology-and-combinatorics) ★

[Possible number of open sets in a topology - Mathematics Stack Exchange](https://math.stackexchange.com/questions/4800549/possible-number-of-open-sets-in-a-topology) ★

[Heaps\' law - Wikipedia](https://en.wikipedia.org/wiki/Heaps%27_law)

[Assembly theory - Wikipedia](https://en.wikipedia.org/wiki/Assembly_theory)

[Union-closed sets conjecture - Wikipedia](https://en.wikipedia.org/wiki/Union-closed_sets_conjecture)

[DesignTheory.org (theoretical, computational, and statistical aspects of combinatorial designs)](https://webspace.maths.qmul.ac.uk/l.h.soicher/designtheory.org/) ★


### Repositories

_(in [Lambda Calculus](../Lambda%20Calculus/README.md#lambda-calculus))_ [maciej-bendkowski/lambda-sampler: Boltzmann sampler utilities for lambda calculus](https://github.com/maciej-bendkowski/lambda-sampler) ★


### Papers

Boltzmann Samplers for the Random Generation of Combinatorial Structures (online @ [algo.inria.fr](https://algo.inria.fr/flajolet/Publications/DuFlLoSc04.pdf)) ★★★ [💭](commentary/Chris%20Pressey.md#boltzmann-samplers-for-the-random-generation-of-combinatorial-structures)

What Lies Between Order and Chaos? (online @ [csc.ucdavis.edu](https://csc.ucdavis.edu/~cmg/compmech/tutorials/wlboac.pdf)) ★★★ [💭](commentary/Chris%20Pressey.md#what-lies-between-order-and-chaos)


### Books

Introductory Combinatorics (borrow @ [archive.org](https://archive.org/details/introductorycomb0000boga)) ★ [💭](commentary/Chris%20Pressey.md#introductory-combinatorics)

Analytic Combinatorics (online @ [algo.inria.fr](https://algo.inria.fr/flajolet/Publications/AnaCombi/anacombi.html), [assets.cambridge.org](https://assets.cambridge.org/97805218/98065/frontmatter/9780521898065_frontmatter.pdf), [archive.org](https://archive.org/details/flajolet-sedgewick-analytic-combinatorics)) ★ [💭](commentary/Chris%20Pressey.md#analytic-combinatorics)

Introduction to Random Graphs (online @ [www.math.cmu.edu](https://www.math.cmu.edu/~af1p/BOOK.pdf)) [💭](commentary/Chris%20Pressey.md#introduction-to-random-graphs)