Angelot Behajaina

activity

20202026

most citedOn the maximum size of ultrametric orthogonal sets over discrete valued fields

2 citations · 2 across the 16 of their papers we have counts for

collaborators

Showing math.COShow all

11 papers · 1 filter

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.CO2024

Counting Problems for Orthogonal Sets and Sublattices in Function Fields

Noy Soffer Aranov, Angelot Behajaina

Let $K = F_{q} ((x^{- 1}))$ . Analogous to orthogonality in the Euclidean space $R^{n}$ , there exists a well-studied notion of ultrametric orthogonality in $\mat…

math.CO2024

On the stopping time of the Collatz map in $F_{2} [x]$

Gil Alon, Angelot Behajaina, Elad Paran

We study the stopping time of the Collatz map for a polynomial $f \in F_{2} [x]$ , and bound it by $O (deg (f)^{1.5})$ , improving upon the quadratic bound proven by Hicks…

math.CO2023

The Collatz map analogue in polynomial rings and in completions

Angelot Behajaina, Elad Paran

We study an analogue of the Collatz map in the polynomial ring $R [x]$ , where $R$ is an arbitrary commutative ring. We prove that if $R$ is of positive characteristic, then every po…

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

Intersection density of imprimitive groups of degree $pq$

Angelot Behajaina, Roghayeh Maleki, Andriaherimanana Sarobidy Razafimahatratra

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

math.CO2022

On integral mixed Cayley graphs over non-abelian finite groups admitting an abelian subgroup of index 2

Angelot Behajaina, François Legrand

Recently, several works by a number of authors have provided characterizations of integral undirected Cayley graphs over generalized dihedral groups and generalized dicyclic groups…

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

Counting Problems for Orthogonal Sets and Sublattices in Function Fields

On the stopping time of the Collatz map in F2​[x]

The Collatz map analogue in polynomial rings and in completions

On the intersection spectrum of PSL2​(q)

Intersection density of imprimitive groups of degree pq

On integral mixed Cayley graphs over non-abelian finite groups admitting an abelian subgroup of index 2

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 stopping time of the Collatz map in $F_{2} [x]$

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

Intersection density of imprimitive groups of degree $pq$

$3$ -setwise intersecting families of the symmetric group