BooksecrCollected Volumepp. 213–222

On resonant spectral gaps in quantum graphs

  • Ngoc T. Do

    Texas A&M University, College Station, USA
  • Peter Kuchment

    Texas A&M University, College Station, USA
  • Beng Ong

    CGG, Houston, USA
On resonant spectral gaps in quantum graphs cover
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Abstract

In this brief paper we present some results on creating and manipulating spectral gaps for a (regular) quantum graph by inserting appropriate internal structures into its vertices. Complete proofs and extensions of the results are planned for another publication.