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math.CO2026
Metric dimension and maximum eigenvalue multiplicity of graph Laplacians
Monther Rashed Alfuraidan, Suliman Khan, Lorenzo Sauras Altuzarra
We study equality between metric dimension and the maximum eigenvalue multiplicity of the Laplacian and signless Laplacian matrices. These quantities are not ordered in general. Us…
math.CO2025
Multiplicity Bounds for Arbitrary Eigenvalues of Connected Signed Graphs
Monther R. Alfuraidan, Suliman Khan
The study of eigenvalue multiplicities plays a central role in the spectral theory of signed graphs, extending several classical results from the unsigned setting. While most exist…
math.CO2017
On the non-existence of
Monther R. Alfuraidan, Ibrahim O. Sarumi, Sergey Shpectorov
We present a new non-existence proof for the strongly regular graph with parameters , using the unit vector representation of the graph.