2 papers
math.CO2026
Sizes of witnesses in Covtree
Jette Gutzeit, Kimia Shaban, Karen Yeats +1
Given a set of unlabelled posets, each of size , we say that a poset is a \emph{witness} to if is the set of downsets of size of . We say that …
cs.CG2026
Which Vertical Graphs are Non VPHT Reconstructible?
Jette Gutzeit, Kalani Kistler, Tim Ophelders +1
The verbose persistent homology transform (VPHT) is a topological summary of shapes in Euclidean space. Assuming general position, the VPHT is injective, meaning shapes can be reco…