7 papers
On the -polynomial property of the full bipartite graph of a Hamming graph
Blas Fernández, Roghayeh Maleki, Štefko Miklavič +1
The -polynomial property is an algebraic property of distance-regular graphs, that was introduced by Delsarte in his study of coding theory. Many distance-regular graphs admit t…
On the maximum intersecting sets of the general semilinear group of degree
Roghayeh Maleki, Andriaherimanana Sarobidy Razafimahatratra
Let be a prime and . A subset is intersecting if any two semilinear transformations in agree on some non-z…
On the Terwilliger algebra of the group association scheme of
Roghayeh Maleki
In 1992, Terwilliger introduced the notion of the \emph{Terwilliger algebra} in order to study association schemes. The Terwilliger algebra of an association scheme i…
The Erdős-Ko-Rado Theorem for non-quasiprimitive groups of degree
Roghayeh Maleki, Andriaherimanana Sarobidy Razafimahatratra
The \emph{intersection density} of a finite transitive group is the rational number given by the ratio between the maximum size of a subset of…
Distance-regular graphs with classical parameters that support a uniform structure: case
Blas Fernández, Roghayeh Maleki, Štefko Miklavič +1
Let denote a finite, simple, connected, and undirected non-bipartite graph with vertex set and edge set . Fix a vertex , and define $\…
The -Analogue of Zero Forcing for Certain Families of Graphs
Shaun Fallat, Neha Joshi, Roghayeh Maleki +6
Zero forcing is a combinatorial game played on a graph with the ultimate goal of changing the colour of all the vertices at minimal cost. Originally this game was conceived as a on…