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math.CO2026
The maximal dimensions of path and graph algebras
Piotr M. Hajac, Elizabeth A. Pacheco, Łukasz 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…