Angelot Behajaina

activity

20202023

collaborators

6 papers

math.CO2025

The intersection densities of transitive actions of $PSL_{2} (q)$ with cyclic point stabilizers

Angelot Behajaina, Roghayeh Maleki, Andriaherimanana Sarobidy Razafimahatratra

Given a finite transitive group $G \leq Sym Ω$ , the {intersection density} of $G$ is defined as the ratio between the size of the largest subsets of $G$ in which any t…

math.CO2023

On the intersection spectrum of $PSL_{2} (q)$

Angelot Behajaina, Roghayeh Maleki, Andriaherimanana Sarobidy Razafimahatratra

Given a group $G$ and a subgroup $H \leq G$ , a set $F \subset G$ is called $H$ \emph{-intersecting} if for any $g, g^{'} \in F$ , there exists $x H \in G / H$ such that $…

math.CO2022

On Cayley graphs over generalized dicyclic groups

Angelot Behajaina, François Legrand

Recently, several works by a number of authors have studied integrality, distance integrality, and distance powers of Cayley graphs over some finite groups, such as dicyclic groups…

math.CO2022

On the intersection density of the symmetric group acting on uniform subsets of small size

Angelot Behajaina, Roghayeh Maleki, Andriaherimanana Sarobidy Razafimahatratra

Given a finite transitive group $G \leq Sym (Ω)$ , a subset $F$ of $G$ is \emph{intersecting} if any two elements of $F$ agree on some element of $Ω…

math.CO2021

On non-normal subgroup perfect codes

Angelot Behajaina, Roghayeh Maleki, Andriaherimanana Sarobidy Razafimahatratra

Let $X = (V, E)$ be a graph. A subset $C \subseteq V (X)$ is a \emph{perfect code} of $X$ if $C$ is a coclique of $X$ with the property that any vertex in $V (X) ∖ C$ is adjace…

math.CO2020

$3$ -setwise intersecting families of the symmetric group

Angelot Behajaina, Roghayeh Maleki, Aina Toky Rasoamanana +1

Given two positive integers $n \geq 3$ and $t \leq n$ , the permutations $σ, π \in Sym (n)$ are $t$ -setwise intersecting if they agree (setwise) on a $t$ -subset of $\{1,2,…

The intersection densities of transitive actions of PSL2​(q) with cyclic point stabilizers

On the intersection spectrum of PSL2​(q)

On Cayley graphs over generalized dicyclic groups

On the intersection density of the symmetric group acting on uniform subsets of small size

On non-normal subgroup perfect codes

3-setwise intersecting families of the symmetric group

The intersection densities of transitive actions of $PSL_{2} (q)$ with cyclic point stabilizers

On the intersection spectrum of $PSL_{2} (q)$

$3$ -setwise intersecting families of the symmetric group