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math.CO2025
Orthogonalisability of joins of graphs
Rupert H. Levene, Polona Oblak, Helena Šmigoc
A graph is said to be orthogonalisable if the set of real symmetric matrices whose off-diagonal pattern is prescribed by its edges contains an orthogonal matrix. We determine some…
math.CO2025
The strong spectral property for some families of unicyclic graphs
Sara Koljančić, Polona Oblak
To find all the possible spectra of all real symmetric matrices whose off-diagonal pattern is prescribed by the adjacencies of a given graph , the Strong Spectral Property turne…