6 citations · 27 across the 20 of their papers we have counts for
20 papers
Ribbon decomposition and twisted Hurwitz numbers
Yurii Burman, Raphaël Fesler
Ribbon decomposition is a way to obtain a surface with boundary (compact, not necessarily oriented) from a collection of disks by joining them with narrow ribbons attached to segme…
Lie elements and the matrix-tree theorem
Yurii Burman, Valeriy Kulishov
For a finite-dimensional representation V of a group G we introduce and study the notion of a Lie element in the group algebra k[G]. The set L(V) \subset k[G] of Lie elements is a…
Algebraic relations between moments of plane polygons
Yurii Burman, Ralf Fröberg, Boris Shapiro
We describe the algebraic relations satisfied by the harmonic and anti-harmonic moments of simply connected, but not necessarily convex planar polygons with a given number of verti…
Elements of mathematics in problems. Through olympiads and circles to profession
M. Berstein, A. Blinkov, V. Bragin +14
This is a collection of teaching materials used in several Russian universities, schools, and mathematical circles. Most problems are chosen in such a way that in the course of the…
Abstract matrix-tree theorem and Bernardi polynomial
Yurii Burman
This paper is a continuation of arXiv:1612.03873. We prove a three-parameter family of identities (Theorem 1.1) involving a version of the Tutte polynomial for directed graphs intr…
Abstract matrix-tree theorem
Yurii Burman
The classical matrix-tree theorem discovered by G.Kirchhoff in 1847 relates the principal minor of the nxn Laplace matrix to a particular sum of monomials of matrix elements indexe…