5 papers
On the intersection spectrum of
Angelot Behajaina, Roghayeh Maleki, Andriaherimanana Sarobidy Razafimahatratra
Given a group and a subgroup , a set is called \emph{-intersecting} if for any , there exists such that $…
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 , a subset of is \emph{intersecting} if any two elements of agree on some element of $Ω…
On non-normal subgroup perfect codes
Angelot Behajaina, Roghayeh Maleki, Andriaherimanana Sarobidy Razafimahatratra
Let be a graph. A subset is a \emph{perfect code} of if is a coclique of with the property that any vertex in is adjace…
On the second eigenvalue of a Cayley graph of the symmetric group
Roghayeh Maleki, Andriaherimanana Sarobidy Razafimahatratra
In 2020, Siemons and Zalesski [On the second eigenvalue of some Cayley graphs of the symmetric group. {\it arXiv preprint arXiv:2012.12460}, 2020] determined the second eigenvalue…
-setwise intersecting families of the symmetric group
Angelot Behajaina, Roghayeh Maleki, Aina Toky Rasoamanana +1
Given two positive integers and , the permutations are -setwise intersecting if they agree (setwise) on a -subset of $\{1,2,…