18 citations · 83 across the 37 of their papers we have counts for
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math.CO2017
Double deficiencies of Dyck paths via the Billey-Jockusch-Stanley bijection
Martin Rubey, Christian Stump
We prove a recent conjecture by René Marczinzik involving certain statistics on Dyck paths that originate in the representation theory of Nakayama algebras of a linearly oriented q…
math.CO2017
The set of alternating sign matrices which are determined by their X-ray is a member of the Catalan family
Martin Rubey
We exhibit a bijection between Dyck paths and alternating sign matrices which are determined by their antidiagonal sums.
math.CO2017★ 6 cited
An involution on Dyck paths that preserves the rise composition and interchanges the number of returns and the position of the first double fall
Martin Rubey
Motivated by a recent paper of Adin, Bagno and Roichman, we present an involution on Dyck paths that preserves the rise composition and interchanges the number of returns and the p…