Yury Kochetkov

activity

20072025

most citedCatalog of dessins d'enfants with \le 4 edges

34 citations · 42 across the 31 of their papers we have counts for

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16 papers · 1 filter

math.CO2025

On the construction of frieze patterns from partitions of convex polygons by nonintersecting diagonals

Yury Kochetkov

We demonstrate in an elementary way how to construct a frieze pattern of width $m - 3$ from a partition of a convex $m$ -gon by not intersecting diagonals.

math.CO2025

On one property of Catalan numbers

Yury Kochetkov

We give a new proof of the following statement: the Catalan number $C_{n}$ is divisible by $n + 2$ , if $n$ is odd and $n \neq \equiv 1 mod 3$ .

math.CO2024

Combinatorics of generic 5-degree polynomials

Yury Kochetkov

We consider the space $P$ of generic complex 5-degree polynomials. Critical values of such polynomial, i.e. four points in the complex plane, either are vertices of a convex quadra…

math.CO2023

A representation of a set of maps as a ribbon bipartite graph

Yury Kochetkov

In this purely experimental work we try to represent the set of plane maps with 3 vertices and 3 faces as a bipartite ribbon graph. In particular, this construction allows one to e…

math.CO2022

Zolotarev polynomials of degree 5, 6 and 7 with simple critical points and their moduli spaces

Yury Kochetkov

A polynomial $p \in C [z]$ with three finite values is called the Zolotarev polynomial. For a class of such polynomials with the given degree, given passport and simple crit…

math.CO2019

Real Morse polynomials of degrees 5 and 6

Yury Kochetkov

A real polynomial $p$ of degree $n$ is called a Morse polynomial if its derivative has $n - 1$ pairwise differentreal roots and values of $p$ in these roots (critical values) are als…