4 citations · 9 across the 8 of their papers we have counts for
4 papers · 1 filter
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…