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A bijection between edges of the Turán graph and irreducible elements in the dominance order lattice

Hassler, Nathanaël
arXiv (All) · Papers
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combinatorics
In this paper we build a bijection between the meet-irreducible elements of the lattice of the compositions of $n$ with parts in $[1,p]$ equipped with the dominance order, and the edges of the $(n,p)$-Turán graph. Using this bijection, we then compute asymptotically the average value of some statist
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