30 citations · 58 across the 12 of their papers we have counts for
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math.NT2019★ 3 cited
On Arithmetical Structures on Complete Graphs
Zachary Harris, Joel Louwsma
An arithmetical structure on the complete graph with vertices is given by a collection of positive integers with no common factor each of which divides their sum. We…
math.CO2019★ 8 cited
Arithmetical structures on bidents
Kassie Archer, Abigail Bishop, Alexander Diaz-Lopez +3
An arithmetical structure on a finite, connected graph is a pair of vectors with positive integer entries for which $(\operatorname{diag}(\mathbf{d})…