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On resonant spectral gap opening in quantum graph networks

Research paper by Ngoc T. Do, Peter Kuchment, Beng Ong

Indexed on: 05 Mar '16Published on: 05 Mar '16Published in: Mathematical Physics



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.