Partition and composition matrices: two matrix analogues of set partitions

This paper introduces two matrix analogues for set partitions; partition and composition matrices. These two analogues are the natural result of lifting the mapping between ascent sequences and integer matrices given in Dukes & Parviainen (2010). We prove that partition matrices are in one-to-on...

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Bibliographic Details
Main Authors: Anders Claesson, Mark Dukes, Martina Kubitzke
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2011-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/2905/pdf