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math.SP2019★ 1 cited
Achievable multiplicity partitions in the inverse eigenvalue problem of a graph
Mohammad Adm, Shaun Fallat, Karen Meagher +3
Associated to a graph is a set of all real-valued symmetric matrices whose off-diagonal entries are nonzero precisely when the corresponding vertices of the gr…
math.SP2011
The minimum rank of universal adjacency matrices
Bahman Ahmadi, Fatemeh Alinaghipour, Shaun M. Fallat +3
In this paper we introduce a new parameter for a graph called the {\it minimum universal rank}. This parameter is similar to the minimum rank of a graph. For a graph the minimu…