8 papers · 1 filter
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…
Parameters of Quotient-Polynomial Graphs
Allen Herman, Roghayeh Maleki
Fiol has characterized quotient-polynomial graphs as precisely the connected graphs whose adjacency matrix generates the adjacency algebra of a symmetric association scheme. We sho…
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 $\…
On cocliques in commutative Schurian association schemes of the symmetric group
Roghayeh Maleki, Andriaherimanana Sarobidy Razafimahatratra
Given the symmetric group and a multiplicity-free subgroup , the orbitals of the action of on by left multiplication induce a commuta…
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 $…
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…
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 $\…