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  1. A. Proof of Thm. 4.34

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    Chapter
  2. Index

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    Chapter
  3. References

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    Chapter
  4. The Characteristic Equation

    This chapter is devoted to compact graphs formed by a finite number of bounded intervals. We already know that the spectrum of the corresponding...
    Pavel Kurasov in Spectral Geometry of Graphs
    Chapter Open access 2024
  5. Trace Formula and Inverse Problems

    Our aim in this section is to establish an explicit formula allowing one to calculate the Euler characteristic of the metric graph directly from the...
    Pavel Kurasov in Spectral Geometry of Graphs
    Chapter Open access 2024
  6. Further Theorems Inspired by Ambartsumian

    We continue to derive results in the spirit of classical Ambartsumian Theorem 14.1 . In the first part we...
    Pavel Kurasov in Spectral Geometry of Graphs
    Chapter Open access 2024
  7. M-Functions: Definitions and Examples

    M-functions associated with quantum graphs provide an efficient tool not only to describe spectral properties of quantum graphs, but to solve the...
    Pavel Kurasov in Spectral Geometry of Graphs
    Chapter Open access 2024
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