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math.CO2023
On the existence of small strictly Neumaier graphs
Aida Abiad, Maarten De Boeck, Sjanne Zeijlemaker
A Neumaier graph is a non-complete edge-regular graph containing a regular clique. In this work, we prove several results on the existence of small strictly Neumaier graphs. In par…
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…