3 papers
math.CO2026
The maximal dimensions of path and graph algebras
Piotr M. Hajac, Elizabeth A. Pacheco, Åukasz Kaczmarczyk +1
We consider the class of acyclic connected directed graphs with . In this paper we find the optimal upper bound for the number of paths amongst acyclic, connected graphs w…
physics.comp-ph2026
A multiphysics model for triboelectric nanogenerator design with explicit surface roughness representation
MD Tanzib Ehsan Sanglap, Jack Perris, Rudra Mukherjee +5
The design of triboelectric nanogenerators (TENGs) for efficient energy harvesting requires predictive models that capture the interplay between surface roughness, real contact are…
cs.CE2025
Conservative data-driven finite element framework
Adriana Kuliková, Andrei G. Shvarts, Åukasz Kaczmarczyk +1
This paper presents a new data-driven finite element framework that is applicable to a broad range of engineering simulation problems. In the data-driven approach, the conservation…