Mamoon Abdullah

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math.CO2024

Towards a classification of $1$ -homogeneous distance-regular graphs with positive intersection number $a_{1}$

Jack H. Koolen, Mamoon Abdullah, Brhane Gebremichel +1

Let $Γ$ be a graph with diameter at least two. Then $Γ$ is said to be $1$ -homogeneous (in the sense of Nomura) whenever for every pair of adjacent vertices $x$ and $y$ in $Γ$ , the…

math.CO2024

Distance-regular graphs with a few $q$ -distance eigenvalues

Mamoon Abdullah, Brhane Gebremichel, Sakander Hayat +1

In this paper we study when the $q$ -distance matrix of a distance-regular graph has few distinct eigenvalues. We mainly concentrate on diameter 3.

Towards a classification of 1-homogeneous distance-regular graphs with positive intersection number a1​

Distance-regular graphs with a few q-distance eigenvalues

Towards a classification of $1$ -homogeneous distance-regular graphs with positive intersection number $a_{1}$

Distance-regular graphs with a few $q$ -distance eigenvalues