@Article{Niikuni2015,
author = "Niikuni, Hiroaki",
title = "Decisiveness of the spectral gaps of periodic Schrödinger operators on the dumbbell-like metric graph",
journal = "Opuscula Math.",
year = "2015",
volume = "35",
number = "2",
pages = "199--234",
doi = "http://dx.doi.org/10.7494/OpMath.2015.35.2.199",
url = "http://dx.doi.org/10.7494/OpMath.2015.35.2.199",
abstract = "In this paper, we consider periodic Schrödinger operators on the dumbbell-like metric graph, which is a periodic graph consisting of lines and rings. Let one line and two rings be in the basic period. We see the relationship between the structure of graph and the band-gap spectrum.",
keywords = "quantum graph, spectral gap, band structure, Hill operator",
issn = "1232-9274"
}