Date of Award
Doctor of Philosophy (PhD)
In this thesis, I will discuss the relations and differences between EL-shellable and CL-shellable posets. I will present examples of EL-shellable posets that are previously known to be CL-shellable, including rank-selected subposets of EL- shellable posets such as the Smirnov words posets, and comodernistic lattices. I will show that EL-shellability is equivalent to root-independent recursive atom ordering, and present two examples of CL-shellable posets that are not EL- shellable, one of which is a graded poset and the other is ungraded. In the end, I will briefly discuss how I think might fully characterize CL-shellable posets that are not EL-shellable.
Chair and Committee
Laura Escobar-Vega, Renato Feres, Martha Precup, Sheila Sundaram,
Li, Tiansi, "A Study on Lexicographic Shellable Posets" (2020). Arts & Sciences Electronic Theses and Dissertations. 2211.