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The Descent Set and Connectivity Set of a Permutation

open access: yes, 2005
The descent set D(w) of a permutation w of 1,2,...,n is a standard and well-studied statistic. We introduce a new statistic, the connectivity set C(w), and show that it is a kind of dual object to D(w).
Stanley, Richard P.
core   +1 more source

Bijections for Dyck paths with colored hills [PDF]

open access: yesEnumerative Combinatorics and Applications, 2022
Kostas Manes, Ioannis Tasoulas
doaj   +1 more source

The mysterious story of square ice, piles of cubes, and bijections. [PDF]

open access: yesProc Natl Acad Sci U S A, 2020
Fischer I, Konvalinka M.
europepmc   +1 more source

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