We investigate the relationship between numerical semigroups and Dyck paths discovered by Bras-Amorós and de Mier. More specifically, we consider some classes of Dyck paths and characterize those paths giving rise to numerical semigroups.
Classes of Dyck paths associated with numerical semigroups / Ferrari, Luca; Giannini, Agnese; Pinzani, Renzo. - In: PURE MATHEMATICS AND APPLICATIONS. - ISSN 1788-800X. - ELETTRONICO. - 30:(2022), pp. 110-119. [10.2478/puma-2022-0029]
Classes of Dyck paths associated with numerical semigroups
Ferrari, Luca;Pinzani, Renzo
2022
Abstract
We investigate the relationship between numerical semigroups and Dyck paths discovered by Bras-Amorós and de Mier. More specifically, we consider some classes of Dyck paths and characterize those paths giving rise to numerical semigroups.
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