activity
20072026
most citedA bound on the number of edges in graphs without an even cycle

61 citations · 249 across the 42 of their papers we have counts for

collaborators

57 papers

math.PR2026

Faster random walks via infrequent steering

Boris Bukh, Quentin Dubroff

Random walks on graphs can be slow. To speed them up, imagine that at each step instead of choosing the neighbor at random, there is a small probability that we can…

math.CO2025

Covering large-dimensional Euclidean spaces by random translates of a given convex body

Boris Bukh, Jun Gao, Xizhi Liu +2

Determining the minimum density of a covering of by Euclidean unit balls as is a major open problem, with the best known results being the lower bound…

math.CO2025

Most frequent subsequences in a word

Boris Bukh, Aleksandre Saatashvili

We prove that every -letter word over -letter alphabet contains some word as a subsequence in at least many ways, and that this is sharp as . F…

math.CO2025

The Oddtown problem modulo a composite number

Boris Bukh, Ting-Wei Chao, Zeyu Zheng

A family of subsets of an -element set is called an -Oddtown if the sizes of all sets are not divisible by , but the sizes of pairwise intersections ar…

math.CO2025

Maximal sets of a given diameter in Hamming cubes

Boris Bukh, Aleksandre Saatashvili

A subset of the Hamming cube over -letter alphabet is said to be -maximal if its diameter is , and adding any point increases the diameter. Our main result shows that each…

math.NT2024

Additive Bases: Change of Domain

Boris Bukh, Peter van Hintum, Peter Keevash

We consider two questions of Ruzsa on how the minimum size of an additive basis of a given set depends on the domain of . To state these questions, for an abelian group…