3 papers
math.CO2026
Small -kernels in digraphs with minimum in-degree
Geoffrey Boyer, Matt Burnham, Daniela Äerná +5
For a digraph , a subset is called a -kernel if is an independent set and all vertices in are reachable from via a directed path of length at…
math.AT2026
Asymmetrically Weighted Dowker Persistence and Applications in Dynamical Systems
Tobias Timofeyev, Christopher Potvin, Benjamin Jones +3
By their nature it is difficult to differentiate chaotic dynamical systems through measurement. In recent years, work has begun on using methods of Topological Data Analysis (TDA)…
cs.SI2025
Cluster Synchronization via Graph Laplacian Eigenvectors
Tobias Timofeyev, Alice Patania
Almost equitable partitions (AEPs) have been linked to cluster synchronization in oscillatory systems, highlighting the importance of structure in collective network dynamics. We p…