3 papers
math.CO2026
Uniformly Weighted Graphical Designs
Zawad Chowdhury, Rekha R. Thomas
A graphical design is a subset of vertices of a graph, along with a weight for each chosen vertex, that can perfectly average chosen subspaces of functions on the graph. A design i…
math.CO2025
Obtaining the Chamanara Surface from the van der Corput sequence
Zawad Chowdhury, Francois Clement, Max Horwitz
We investigate a family of -regular graphs constructed to test for the presence of combinatorial structure in a sequence of distinct real numbers. We show that the graphs constr…
math.CO2025
Graphical Designs find Combinatorial Structures
Zawad Chowdhury, Stefan Steinerberger, Rekha R. Thomas
Graphical designs are subsets of vertices of a graph that perfectly average a selected set of eigenvectors of the Graph Laplacian. We show that in highly-structured graphs, graphic…