On resonant spectral gaps in quantum graphs
Ngoc T. Do
Texas A&M University, College Station, USAPeter Kuchment
Texas A&M University, College Station, USABeng Ong
CGG, Houston, USA
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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.