no code implementations • 3 Aug 2020 • Pim van der Hoorn, William J. Cunningham, Gabor Lippner, Carlo Trugenberger, Dmitri Krioukov
Even though there exist numerous nonequivalent definitions of graph curvature, none is known to converge in any limit to any traditional definition of curvature of a Riemannian manifold.
Probability Disordered Systems and Neural Networks Social and Information Networks General Relativity and Quantum Cosmology Physics and Society
1 code implementation • 13 Jul 2018 • Michael T. Schaub, Austin R. Benson, Paul Horn, Gabor Lippner, Ali Jadbabaie
Simplicial complexes, a mathematical object common in topological data analysis, have emerged as a model for multi-nodal interactions that occur in several complex systems; for example, biological interactions occur between a set of molecules rather than just two, and communication systems can have group messages and not just person-to-person messages.
Social and Information Networks Discrete Mathematics Algebraic Topology Physics and Society
