14 citations · 14 across the 5 of their papers we have counts for
5 papers
Geodesic nets on the Euclidean plane and closed geodesic nets on Euclidean surfaces
Ivan Frolov, Denis Gorodkov, Dmitrii Korshunov +1
We prove that if is a closed Riemannian surface of diameter and area with sectional curvature in the interval, then a closed geodesic net of length has at…
CayleyPy-4: AI-Holography. Towards analogs of holographic string dualities for AI tasks
A. Chervov, F. Levkovich-Maslyuk, A. Smolensky +41
This is the fourth paper in the CayleyPy project, which applies AI methods to the exploration of large graphs. In this work, we suggest the existence of a new discrete version of h…
CayleyPy RL: Pathfinding and Reinforcement Learning on Cayley Graphs
A. Chervov, M. Obozov, A. Soibelman +31
This paper is the second in a series of studies on developing efficient artificial intelligence-based approaches to pathfinding on extremely large graphs (e.g. nodes) wit…
Hurwitz numbers for reflection groups
Raphaël Fesler, Denis Gorodkov, Maksim Karev
We are extending results from \cite{B-Hurwitz} by building a parallel theory of simple Hurwitz numbers for the reflection groups . We also study analogs of the cut-and-jo…
A 15-vertex triangulation of the quaternionic projective plane
Denis Gorodkov
In 1992, Brehm and Kühnel constructed a 8-dimensional simplicial complex with 15 vertices as a candidate to be a minimal triangulation of the quaternionic projective pla…