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math.CO2022★ 1 cited
Sparsity of Graphs that Allow Two Distinct Eigenvalues
Wayne Barrett, Shaun Fallat, Veronika Furst +5
The parameter of a graph is the minimum number of distinct eigenvalues over the family of symmetric matrices described by . It is shown that the minimum number of edg…
math.CO2022
On the zero forcing number of the complement of graphs with forbidden subgraphs
Emelie Curl, Shaun Fallat, Ryan Moruzzi +2
Motivated in part by an observation that the zero forcing number for the complement of a tree on vertices is either or in one exceptional case, we consider the zero…