Denis S. Krotov

activity

20092026

most citedOn the number of n-ary quasigroups of finite order

9 citations · 10 across the 8 of their papers we have counts for

collaborators

Showing 2025Show all

3 papers · 1 filter

math.CO2025

Generalized ovals, 2.5-dimensional additive codes, and multispreads

Denis S. Krotov, Sascha Kurz

We present constructions and bounds for additive codes over a finite field in terms of their geometric counterpart, i.e., projective systems. It is known that the maximum number of…

math.CO2025

The spectral Turán problem: Characterizing spectral-consistent graphs

Longfei Fang, Sergey Goryainov, Denis Krotov +2

Let $EX (n, H)$ and $SPEX (n, H)$ denote the families of $H$ -free graphs of order $n$ with maximum size and maximum spectral radius, respectively. A graph $H$ is called spe…

math.CO2025

Maximum Size $t$ -Intersecting Families and Anticodes

Xuan Wang, Tuvi Etzion, Denis Krotov +1

The maximum size of $t$ -intersecting families is one of the most celebrated topics in combinatorics, and its size is known as the Erdős-Ko-Rado theorem. Such intersecting families,…

Generalized ovals, 2.5-dimensional additive codes, and multispreads

The spectral Turán problem: Characterizing spectral-consistent graphs

Maximum Size t-Intersecting Families and Anticodes

Maximum Size $t$ -Intersecting Families and Anticodes