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math.CO2023
Cospectral mates for generalized Johnson and Grassmann graphs
Aida Abiad, Jozefien D'haeseleer, Willem H. Haemers +1
We provide three infinite families of graphs in the Johnson and Grassmann schemes that are not uniquely determined by their spectrum. We do so by constructing graphs that are cospe…
math.CO2023
On the diameter and zero forcing number of some graph classes in the Johnson, Grassmann and Hamming association scheme
Aida Abiad, Robin Simoens, Sjanne Zeijlemaker
We determine the diameter of generalized Grassmann graphs and the zero forcing number of some generalized Johnson graphs, generalized Grassmann graphs and the Hamming graphs. Our w…