35 citations · 127 across the 21 of their papers we have counts for
28 papers
Hadamard Matrix Torsion
Davide Lofano, Frank H. Lutz
We construct a series HMT of -dimensional simplicial complexes with torsion HMT$(n))=(\mathbb{Z}_2)^{{k}\choose{1}} \times (\mathbb{Z}_4)^{{k}\choose{2}} \times \cdot…
Random Simple-Homotopy Theory
Bruno Benedetti, Crystal Lai, Davide Lofano +1
We implement an algorithm RSHT (Random Simple-Homotopy) to study the simple-homotopy types of simplicial complexes, with a particular focus on contractible spaces and on finding su…
Cohen--Lenstra heuristics for torsion in homology of random complexes
Matthew Kahle, Frank Lutz, Andrew Newman +1
We study torsion in homology of the random -complex experimentally. Our experiments suggest that there is almost always a moment in the process where there is…
Roundness of grains in cellular microstructures
Frank H. Lutz, Jeremy K. Mason, Emanuel A. Lazar +1
Many physical systems are composed of polyhedral cells of varying sizes and shapes. These structures are simple in the sense that no more than three faces meet at an edge and no mo…
Chromatic Numbers of Simplicial Manifolds
Frank H. Lutz, Jesper M. Møller
Higher chromatic numbers of simplicial complexes naturally generalize the chromatic number of a graph. In any fixed dimension , the -chromatic number of …
Frontiers of sphere recognition in practice
Michael Joswig, Davide Lofano, Frank H. Lutz +1
Sphere recognition is known to be undecidable in dimensions five and beyond, and no polynomial time method is known in dimensions three and four. Here we report on positive and neg…