Graph consists of a set of vertices V={Xj: j I}, a set of finite edges L={Ljn:(Xj, Xn) IL I I} and a set of infinite edges L={Lj: Xj IC} attached to them. We regard it as a configuration space of a quantum system with the Hilbert space
@inproceedings{eresonance,
title={RESONANCE ASYMPTOTICS FOR QUANTUM GRAPHS},
author={E Brian Davies, Pavel Exner, and Jir Lipovsk},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020144612046956957},
}
E Brian Davies, Pavel Exner, and Jir Lipovsk. RESONANCE ASYMPTOTICS FOR QUANTUM GRAPHS. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020144612046956957.