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math.CO2023
Spectral Radii of Arithmetical Structures on Cycle Graphs
Alexander Diaz-Lopez, Kathryn Haymaker, Michael Tait
Let be a finite, connected graph. An arithmetical structure on is a pair of positive integer-valued vectors such that $(\text{diag}(\mathbf{d})-A_…
math.CO2023★ 1 cited
Critical groups of arithmetical structures on star graphs and complete graphs
Kassie Archer, Alexander Diaz-Lopez, Darren Glass +1
An arithmetical structure on a finite, connected graph without loops is an assignment of positive integers to the vertices that satisfies certain conditions. Associated to each of…