Vadim E. Levit

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19992026

most citedVery well-covered graphs with log-concave independence polynomials

20 citations · 106 across the 85 of their papers we have counts for

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4 papers · 1 filter

math.GR2026

Higher Commutativity in Finite Groups, Rigidity, Extremal bounds, and Heisenberg-Type Families

Vadim E Levit, Robert Shwartz

For a finite group $G$ and an integer $r \geq 2$ let $P_{r} (G) := \frac{∣ H o m ( Z ^{r} , G ) ∣}{∣ G ∣ ^{r}},$ where $\Hom(\mathbb Z^r,G)$ is the set of pairwise commuting $r$ -tuples in $G$ .…

math.GR2026

Higher Commutativity in Finite Groups: Exact Asymptotics and Finite Spectrum

Vadim E. Levit, Robert Shwartz

For a finite group G, we study the higher commuting probabilities, namely the probabilities that r randomly chosen elements of G commute pairwise, together with the corresponding n…

math.GR2019

Signed Hultman Numbers and Signed Generalized Commuting Probability in Finite Groups

Robert Shwartz, Vadim E. Levit

Let G be a finite group. Let pi be a permutation from S{n}. We study the distribution of probabilities of equality a{1} a{2} ...a{n-1}a{n}=a{pi{1}}^{epsilon{1}} a{pi_{2}}^{epsilon{…

math.GR2014★ 1 cited

Hultman Numbers and Generalized Commuting Probability in Finite Groups

Yonah Cherniavsky, Avraham Goldstein, Vadim E. Levit +1

Let $G$ be a finite group and $π$ be a permutation from $S_{n}$ . We investigate the distribution of the probabilities of the equality \[ a_{1}a_{2}\cdots a_{n-1}a_{n}=a_{π_{1}}a_{π…