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20202026
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8 papers · 1 filter

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

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…

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

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…

math.CO2023

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 $…

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…

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 $\…