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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

17 votes
8 answers
3k views

Cyclotomic polynomials in combinatorics

I am searching for a combinatorial significance of cyclotomic polynomials. The only examples I got are a paper by Neville Robbins http://www.emis.de/journals/INTEGERS/papers/a6/a6.pdf and two recent p …
6 votes
2 answers
2k views

Example of Möbius inversion on integer partition poset

We know that integer partitions form a poset (actually we can define more than one partial orders on it), and so we can have some kind of Möbius function on it and consequently Möbius Inversion Formul …