McNair Summer Research Program
Faculty Mentor(s)
Bennet Goeckner
Publication Date
Summer 8-10-2026
Disciplines
Algebra | Discrete Mathematics and Combinatorics | Mathematics | Physical Sciences and Mathematics
Description, Abstract, or Artist's Statement
Underclosed complexes are a recent generalization of interval graphs to higher dimensions. Motivated by underclosed complexes, we define and study underclosed posets. Order ideals of these posets correspond to pure underclosed complexes. We classify which principal order ideals are rank-symmetric (and in fact are self-dual).
COinS