Surgery of Graphs: M-Function and Spectral Gap |
| P. Kurasov
Dept. of Mathematics, Stockholm Univ., 106 91, Stockholm, Sweden |
| Full Text PDF |
| We discuss behaviour of the spectral gap for quantum graphs when two metric graphs are glued together. It appears that precise answer to this question can be given using a natural generalisation of the Titchmarsh-Weyl M-functions. |
DOI: 10.12693/APhysPolA.132.1666 topics: quantum graphs, spectral theory |