Pavel Exner, Jiri Lipovsky
Equivalence of resolvent and scattering resonances on quantum graphs
(34K, AMS-LaTeX)

ABSTRACT.  We discuss resonances for Schr\"odinger operators on metric graphs 
which consists of a finite compact part and a finite number of 
halflines attached to it; the vertex coupling is assumed to be of 
the $\delta$-type or certain modifications of it. Using exterior 
complex scaling on the graph we show that the resolvent and 
scattering resonances coincide in this case.