We give a self-contained presentation of the theory of self-adjoint extensions using the
technique of boundary triples. A description of the spectra of self-adjoint extensions in terms …

This open access book gives a systematic introduction into the spectral theory of differential
operators on metric graphs. Main focus is on the fundamental relations between the …

We consider a family of non-compact manifolds X ε (“graph-like manifolds”) approaching a
metric graph X 0 and establish convergence results of the related natural operators, namely …

We consider magnetic Schrödinger operators on quantum graphs with identical edges. The
spectral problem for the quantum graph is reduced to the discrete magnetic Laplacian on the …

In the present paper we consider Riemannian coverings (X, g)→(M, g) with residually finite
covering group Γ and compact base space (M, g). In particular, we give two general …

arXiv:math/0412431v2 [math.FA] 30 Mar 2006 Page 1 arXiv:math/0412431v2 [math.FA] 30 Mar
2006 Resolvents of self-adjoint extensions with mixed boundary conditions Konstantin …

Branching chain of rings as a quantum graph is considered. We use the transfer matrix
method to obtain the spectral equation. The existence of bound states is proved. The …

The spectral problems for two types of quantum graphs are considered. We deal with star-
like graph and a graph consisting of two rings connected through a segment. The spectral …

A number of attributed formation models based on Erdos-Renyi and Barabasi-Albert random
graph models are presented. One of them is a Human Communication Network (HCN) …

In the scope of the current thesis we review and analyse networks that are formed by nodes
with several attributes. We suppose that different layers of communities are embedded in …