Milica Andelic, Carlos M. da Fonseca, E. Kılıç, Z. Stanić
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A Sylvester-Kac matrix type and the Laplacian controllability of half graphs
In this paper, we provide a new family of tridiagonal matrices whose eigenvalues are perfect squares. This result motivates the computation of the spectrum of a particular antibidiagonal matrix. As an application, we consider the Laplacian controllability of a particular subclass of chain graphs known as half graphs.
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