34 citations · 42 across the 31 of their papers we have counts for
31 papers
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 from a partition of a convex -gon by not intersecting diagonals.
On one property of Catalan numbers
Yury Kochetkov
We give a new proof of the following statement: the Catalan number is divisible by , if is odd and .
Mathematical and physical billiard in pyramids
Yury Kochetkov, Lev Pyatko
In this experimental work we study billiard trajectories in triangular pyramids and try to establish conditions that guarantee the existence (or absence) of 4-cycles (there can be…
Combinatorics of generic 5-degree polynomials
Yury Kochetkov
We consider the space 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…
On cubic polynomials with the cyclic Galois group
Yury Kochetkov
A cubic Galois polynomial is a cubic polynomial with rational coefficients that defines a cubic Galois field. Its discriminant is a full square and its roots (enumera…
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…