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math.CO2018
Schur reduction of trees and extremal entries of the Fiedler vector
Hannes Gernandt, Jan Philipp Pade
We study the eigenvectors of Laplacian matrices of trees. The Laplacian matrix is reduced to a tridiagonal matrix using the Schur complement. This preserves the eigenvectors and al…
math.SP2018
Locally finite extensions and Gesztesy-Šeba realizations for the Dirac operator on a metric graph
Hannes Gernandt, Carsten Trunk
We study extensions of direct sums of symmetric operators . In general there is no natural boundary triplet for even if there is one for every…