F. Petrov

activity

20022022

q

-binomial coefficients

105 citations · 232 across the 34 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.NT2022

Asymptotics of Landau--Okhotin function

F. Petrov

Landau function $g (n)$ is the maximal possible least common multiple of several positive integers with sum not exceeding $n$ . Under additional assumptions that these numbers are th…

math.CO2022

On stability of spanning tree degree enumerators

Danila Cherkashin, Fedor Petrov, Pavel Prozorov

We show that the spanning tree degree enumerator polynomial of a connected graph $G$ is a real stable polynomial if and only if $G$ is distance-hereditary.

math.CO2022

A combinatorial proof of the Burdzy-Pitman conjecture

Stanisław Cichomski, Fedor Petrov

We prove a sharp upper bound for the number of high degree differences in bipartite graphs: let $(U, V, E)$ be a bipartite graph with $U = {u_{1}, u_{2}, \dots, u_{n}}$ and $V=\{v_1, v_…