A. Malyutin

most citedHyperbolic links are not generic

3 citations · 3 across the 1 of their papers we have counts for

collaborators

3 papers

math.GT2021

$3$ -manifolds represented by $4$ -regular graphs with three Eulerian cycles

Evgeny Fominykh, Andrei Malyutin, Ekaterina Shumakova

We construct and study a new class $M = {M_{n}}_{n \geq 4}$ of compact hyperbolic $3$ -manifolds with totally geodesic boundary. The members of $M_{n}$ are d…

math.GT2019

Hyperbolic knots are not generic

Yury Belousov, Andrei Malyutin

We show that the proportion of hyperbolic knots among all of the prime knots of $n$ or fewer crossings does not converge to $1$ as $n$ approaches infinity. Moreover, we show that i…

math.GT2019★ 3 cited

Hyperbolic links are not generic

Andrei V. Malyutin

We show that if $K$ is a nontrivial knot then the proportion of satellites of $K$ among all of the prime non-split links of $n$ or fewer crossings does not converge to $0$ as $n$ a…

3-manifolds represented by 4-regular graphs with three Eulerian cycles

Hyperbolic knots are not generic

Hyperbolic links are not generic

$3$ -manifolds represented by $4$ -regular graphs with three Eulerian cycles