3 papers
cs.CG2026
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…
cs.CG2023
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…
math.AT2023
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…