4 papers
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…
Counting Triangulations of Fixed Cardinal Degrees
Erin Chambers, Tim Ophelders, Anna Schenfisch +1
A fixed set of vertices in the plane may have multiple planar straight-line triangulations in which the degree of each vertex is the same. As such, the degree information does not…
Sweeping Orders for Simplicial Complex Reconstruction
Tim Ophelders, Anna Schenfisch
Standard sweep algorithms require an order of discrete points in Euclidean space, and rely on the property that, at a given point, all points in the halfspace below come earlier in…
Outerplanar graphs with positive Lin-Lu-Yau curvature
George Brooks, Fadekemi Osaye, Anna Schenfisch +2
In this paper, we show that all simple outerplanar graphs with minimum degree at least and positive Lin-Lu-Yau Ricci curvature on every edge have maximum degree at most …