2 papers
math.CO2026
Singular Meanders
Yury Belousov
The problem of enumerating meanders -- pairs of simple plane curves with transverse intersections -- was formulated about forty years ago and is still far from solved. Recently, it…
math.GT2025
On the complexity of meander-like diagrams of knots
Yury Belousov
It is known that each knot has a semimeander diagram (i. e. a diagram composed of two smooth simple arcs), however the number of crossings in such a diagram can only be roughly est…