31 citations
- University of Minnesota, DuluthUS3 papers
- Mahidol UniversityTH2 papers
- Pennsylvania State UniversityUS2 papers
- Astronomical Institute of the Slovak Academy of SciencesSK1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Concordia UniversityCA1 paper
- Georgia Southern UniversityUS1 paper
- Hodges UniversityUS1 paper
- Huawei Technologies (Canada)CA1 paper
- John Regan Associates (United Kingdom)GB1 paper
- Laboratoire de Physique Théorique et Modèles StatistiquesFR1 paper
- Michigan Technological UniversityUS1 paper
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math.CO2020★ 31 cited
Dyson's Crank and the Mex of Integer Partitions
Brian Hopkins, James A. Sellers, Dennis Stanton
Andrews and Newman have recently introduced the notion of the mex of a partition, the smallest positive integer that is not a part. The concept has been used since at least 2011, t…
math.CO2020★ 4 cited
Combinatorics of Multicompositions
Brian Hopkins, Stéphane Ouvry
Integer compositions with certain colored parts were introduced by Andrews in 2007 to address a number-theoretic problem. Integer compositions allowing zero as some parts were intr…
math.CO2020★ 1 cited
Restricted Color -color Compositions
Brian Hopkins, Hua Wang
Agarwal introduced -color compositions in 2000 and most subsequent research has focused on restricting which parts are allowed. Here we focus instead on restricting allowed colo…