4 citations · 9 across the 8 of their papers we have counts for
9 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…
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…
Generating Tree Structures for Hyperbolic Tessellations
Dorota Celińska-Kopczyńska, Eryk Kopczyński
We show an efficient algorithm for generating geodesic regular tree structures for periodic hyperbolic and Euclidean tessellations and experimentally verify its performance on tess…
Dynamic Distances in Hyperbolic Graphs
Eryk Kopczyński, Dorota Celińska-Kopczyńska
We consider the following dynamic problem: given a fixed (small) template graph with colored vertices C and a large graph with colored vertices G (whose colors can be changed dynam…
Navigating Higher Dimensional Spaces using Hyperbolic Geometry
Eryk Kopczyński, Dorota Celińska-Kopczyńska
Higher-dimensional spaces are ubiquitous in applications of mathematics. Yet, as we live in a three-dimensional space, visualizing, say, a four-dimensional space is challenging. We…
Discrete Hyperbolic Random Graph Model
Dorota Celińska-Kopczyńska, Eryk Kopczyński
The hyperbolic random graph model (HRG) has proven useful in the analysis of scale-free networks, which are ubiquitous in many fields, from social network analysis to biology. Howe…
Hyperbolic Minesweeper is in P
Eryk Kopczyński
We show that, while Minesweeper is NP-complete, its hyperbolic variant is in P. Our proof does not rely on the rules of Minesweeper, but is valid for any puzzle based on satisfying…
Real-Time Visualization in Non-Isotropic Geometries
Eryk Kopczyński, Dorota Celińska-Kopczyńska
Non-isotropic geometries are of interest to low-dimensional topologists, physicists and cosmologists. However, they are challenging to comprehend and visualize. We present novel me…
Hyperbolic triangulations and discrete random graphs
Eryk Kopczyński, Dorota Celińska-Kopczyńska
The hyperbolic random graph model (HRG) has proven useful in the analysis of scale-free networks, which are ubiquitous in many fields, from social network analysis to biology. Howe…