4 papers · 1 filter
No Hilton-Milner type results for linear groups of degree two
Roghayeh Maleki, Andriaherimanana Sarobidy Razafimahatratra
A set of permutations of a finite transitive permutation group is \emph{intersecting} if any pair of elements of agree on…
The search for small association schemes with noncyclotomic eigenvalues
Allen Herman, Roghayeh Maleki
In this article we determine feasible parameter sets for (what could potentially be) commutative association schemes with noncyclotomic eigenvalues that are of smallest possible ra…
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…