3 papers
math.AT2026
Avalanche homology of digraphs via sandpile dynamics
Henri Riihimäki, Jason P. Smith
We introduce avalanche homology as a new (di)graph homology theory, based on the dynamics of the sandpile model. Avalanche homology is the simplicial homology of the avalanche comp…
math.CO2026
Multipath complexes of bidirectional polygonal digraphs
Luigi Caputi, Carlo Collari, Jason P. Smith
In this work we study the homotopy type of multipath complexes of bidirectional path graphs and polygons, motivated by works of VreÄica and ŽivaljeviÄ on cycle-free chessboard c…
cs.DM2025
On Distance Preserving and Sequentially Distance Preserving Graphs
Jason P. Smith, Emad Zahedi
A graph is an \emph{isometric} subgraph of if , for every pair~. A graph is \emph{distance preserving} if it has an isometric subgraph of e…