3 papers
cs.SI2026
Hyperbolic embeddings for graph compression
Dorota Celinska-Kopczynska, Eryk Kopczynski
Network theoreticians hypothesize that the structure of real-world networks has a geometric origin. Especially, hyperbolic geometry was proven insightful in representing and modeli…
math.NA2024
Numerical Aspects of Hyperbolic Geometry
Dorota Celinska-Kopczynska, Eryk Kopczynski
Hyperbolic geometry has recently found applications in social networks, machine learning and computational biology. With the increasing popularity, questions about the best represe…
cs.LO2019
Axiomatizing rectangular grids with no extra non-unary relations
Eryk Kopczynski
We construct a formula which axiomatizes non-narrow rectangular grids without using any binary relations other than the grid neighborship relations. As a corollary, we prove th…