A unified condition for rooted products of graphs to have distinct matrix eigenvalues, plus a construction of infinite families of non-isomorphic cospectral graphs and a controllability criterion.
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Exploring Graphs with Distinct $M$-Eigenvalues: Product Operation, Wronskian Vertices, and Controllability
A unified condition for rooted products of graphs to have distinct matrix eigenvalues, plus a construction of infinite families of non-isomorphic cospectral graphs and a controllability criterion.