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math.CO2021
The bifurcation lemma for strong properties in the inverse eigenvalue problem of a graph
Shaun M. Fallat, H. Tracy Hall, Jephian C. -H. Lin +1
The inverse eigenvalue problem of a graph studies the real symmetric matrices whose off-diagonal pattern is prescribed by the adjacencies of the graph. The strong spectral property…
math.CO2021
On digraphs with polygonal restricted numerical range
Thomas R. Cameron, H. Tracy Hall, Ben Small +1
In 2020, Cameron et al. introduced the restricted numerical range of a digraph (directed graph) as a tool for characterizing digraphs and studying their algebraic connectivity. In…