Basic structures
Generating functions
Proof techniques
Combinatorial identities
Polytopes
combinatorics with emphasis on counting numbers of possibilities.
Richard Stanley, Enumerative combinatorics – Volume 1, Wadsworth & Brooks/Cole Mathematics Series book series 1986, 1997 (doi:10.1007/978-1-4615-9763-6) reprinted in: Cambridge Studies in Advanced Mathematics, Cambridge University Press 2011 (ISBN:9781107602625, pdf)
Federico Ardila, Algebraic and geometric methods in enumerative combinatorics, survey for an upcoming handbook on enumeration, (arxiv/1409.2562)
See also:
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