The scattering matrix of a graph (Q1010823)
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scientific article; zbMATH DE number 5541001
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The scattering matrix of a graph |
scientific article; zbMATH DE number 5541001 |
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The scattering matrix of a graph (English)
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7 April 2009
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Summary: Recently, Smilansky expressed the determinant of the bond scattering matrix of a graph by means of the determinant of its Laplacian. We present another proof for this Smilansky's formula by using some weighted zeta function of a graph. Furthermore, we reprove a weighted version of Smilansky's formula by Bass' method used in the determinant expression for the Ihara zeta function of a graph.
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bond scattering matrix of a graph
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determinant of its Laplacian
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Smilansky formula
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Bass method
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