61 citations
- North Carolina Central UniversityUS10 papers
- Bielefeld UniversityDE8 papers
- Jožef Stefan InstituteSI7 papers
- Odesa I. I. Mechnikov National UniversityUA7 papers
- Institute for Nuclear Research and Nuclear EnergyBG5 papers
- Jožef Stefan International Postgraduate SchoolSI5 papers
- State Institution National Antarctic Scientific CenterUA5 papers
- Institute for Nuclear ResearchRU3 papers
- University of GenevaCH3 papers
- Bulgarian Academy of SciencesBG2 papers
- Georgia Southern UniversityUS2 papers
- National Academy of Sciences of UkraineUA2 papers
51 papers
A Characterization of Geodetic Graphs in Terms of their Embedded Even Graphs
Carlos E. Frasser
The problem of finding the general classification of geodetic graphs is still open. We believe that one of the obstacles to attain this goal is that geodetic graphs lack a structur…
UA-Code-Bench: A Competitive Programming Benchmark for Evaluating LLM Code Generation in Ukrainian
Mykyta Syromiatnikov, Victoria Ruvinskaya
Evaluating the real capabilities of large language models in low-resource languages still represents a challenge, as many existing benchmarks focus on widespread tasks translated f…
On a Problem of Ramsey Theory
Carlos E. Frasser
In 1955, Greenwood and Gleason showed that the Ramsey number R(3, 3, 3) = 17 by constructing an edge-chromatic graph on 16 vertices in three colors with no triangles. Their techniq…
On the Possibility of a Connection between the Construction of a Class of Bigeodetic Blocks and the Existence Problem for Biplanes
Carlos E. Frasser
Graph theory and enumerative combinatorics are two branches of mathematical sciences that have developed astonishingly over the past one hundred years. It is especially important t…
GEANT4 simulation and spectrum restoration of a pixelated X-ray detector
Andrii Tykhonov, Alexander Winkler, Volodymyr Smoliar
We perform a detailed simulation of a pixelated CdTe detector using the GEANT4 toolkit completed with a custom code emulating the detector's electronic response. We demonstrate tha…
Laplace's method for elastic scattering diagrams within multi-particle fields model
N. O. Chudak, I. V. Sharph, O. S. Potiienko +4
We apply the multi-particle fields model to calculate the differential cross-section dσ/dt of elastic proton-proton scattering. This problem includes the calculation of multidimens…