8 citations · 9 across the 6 of their papers we have counts for
6 papers
Modelling brain connectomes networks: Solv is a worthy competitor to hyperbolic geometry!
Dorota Celińska-Kopczyńska, Eryk Kopczyński
Finding suitable embeddings for connectomes (spatially embedded complex networks that map neural connections in the brain) is crucial for analyzing and understanding cognitive proc…
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…
Generating Regular Hyperbolic Honeycombs
Dorota Celińska-Kopczyńska, Eryk Kopczyński
Geodesic regular tree structures are essential to combat numerical precision issues that arise while working with large-scale computational hyperbolic geometry and have application…
Complexity of Problems of Commutative Grammars
Eryk Kopczynski
We consider commutative regular and context-free grammars, or, in other words, Parikh images of regular and context-free languages. By using linear algebra and a branching analog o…
On the variable hierarchy of first-order spectra
Eryk Kopczynski, Tony Tan
The spectrum of a first-order logic sentence is the set of natural numbers that are cardinalities of its finite models. In this paper we study the hierarchy of first-order spectra…
Complexity of Problems for Commutative Grammars
Eryk Kopczyński
We consider Parikh images of languages accepted by non-deterministic finite automata and context-free grammars; in other words, we treat the languages in a commutative way --- we d…