34 citations · 34 across the 7 of their papers we have counts for
7 papers
Almost Regular Coverings of the Sphere: Realizability. I. Tetrahedral Case
Nikolai M. Adrianov, Elena M. Kreines
We prove the realizability of genus- branch data of the form and , where , , are…
Hamiltonian Sets of Polygonal Paths in Assembly Graphs
A. Guterman, N. Jonoska, E. Kreines +2
We provide four equivalent combinatorial conditions for a simple assembly graph (rigid vertex graph where all vertices are of degree 1 or 4) to have the largest number of Hamiltoni…
Belyi pair for the orientation cover of
Natalia Amburg, Elena Kreines
Let be the Deligne-Mumford compactification of the moduli space of genus 0 real algebraic curves with 5 marked points. By ${\mathcal L}(…
Integrability of matrices
Suren Danielyan, Alexander Guterman, Elena Kreines +1
The concepts of differentiation and integration for matrices are known. As far as each matrix is differentiable, it is not clear a priori whether a given matrix is integrable or no…
Poincare polynomial for the moduli space and the number of points in
N. Amburg, E. Kreines, G. Shabat
We obtain a combinatorial proof that the number of points of the space satisfies the recurrent formula for Poincare polynomials of th…
Computation of the first Stiefel-Whitney class for the variety
N. Ya. Amburg, E. M. Kreines
We compute the class which is Poincare dual to the first Stiefel-Whitney class for the Deligne-Mumford compactification of the moduli space of real algebraic curves of genus 0 with…
Catalog of dessins d'enfants with \le 4 edges
N. M. Adrianov, N. Ya. Amburg, V. A. Dremov +5
In this work all the dessins d'enfant with no more than 4 edges are listed and their Belyi pairs are computed. In order to enumerate all dessins the technique of matrix model compu…