2 citations · 2 across the 3 of their papers we have counts for
4 papers
Bifunction and Interlevel Delaunay Trifiltrations
Ángel Javier Alonso, Michael Kerber, Tung Lam +2
A key property of the Delaunay filtration is that it is topologically (i.e., weakly) equivalent to the offset (union-of-balls) filtration. Recently, this filtration has been extend…
Delaunay Bifiltrations of Functions on Point Clouds
Ángel Javier Alonso, Michael Kerber, Tung Lam +1
The Delaunay filtration of a point cloud is a central tool of computational topology. Its use is justified by the topological equ…
Algebraic and Geometric Models for Space Networking
William Bernardoni, Robert Cardona, Jacob Cleveland +6
In this paper we introduce some new algebraic and geometric perspectives on networked space communications. Our main contribution is a novel definition of a time-varying graph (TVG…
The Universal -Metric on Merge Trees
Robert Cardona, Justin Curry, Tung Lam +1
Adapting a definition given by Bjerkevik and Lesnick for multiparameter persistence modules, we introduce an -type extension of the interleaving distance on merge trees. We…