Loading...
Rhizomes of ranked posets
Castro, Rachel H. ; Bingham, Aram
Castro, Rachel H.
Bingham, Aram
Citations
Altmetric:
Advisor
Editor
Date
2024-04
Date Issued
Date Submitted
Keywords
Collections
Research Projects
Organizational Units
Journal Issue
Embargo Expires
Abstract
We introduce and study the notion of a rhizome for a ranked, partially ordered set (or poset) where each set of fixed rank is finite. A rhizome is defined as a minimal size subset of the elements of rank n such that each of the elements of rank n + 1 covers at least one element of the rhizome. Given a poset P with ranked parts Pn, we consider the function rP : N → N which gives the size of a rhizome for Pn, and study this function for examples like the Boolean lattice and Young's lattice.
Associated Publications
Rights
Copyright of the original work is retained by the author.