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Paper detail

Spectra of infinite graphs: two methods of computation

Two method for computation of the spectra of certain infinite graphs are suggested. The first one can be viewed as a reversed Gram--Schmidt orthogonalization procedure. It relies heavily on the spectral theory of Jacobi matrices. The second method is related to the Schur complement for block matrices. A number of examples including infinite graphs with tails, chains of cycles and ladders are worked out in detail.

preprint2020arXivOpen access
Leonid Golinskii
math.COmath.SP
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Leonid Golinskii

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