collaborators

7 papers

math.CO2024

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…

math.CO2024

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…

math.CO2023

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…

math.CO2023

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…

math.CO2023

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 $\…

math.CO2023

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…