CONTENTS ix
Research articles
Two constructions of quantum graphs and two types of spectral statistics
G. BERKOLAIKO 315
An example on the discrete spectrum of a star graph
B. M. BROWN, M. S. P. EASTHAM, AND I. G. W O O D 331
The HELP inequality on trees
B. MALCOLM BROWN, MATTHIAS LANGER,
AND KARL MICHAEL SCHMIDT 337
Boundary value problems for infinite metric graphs
ROBERT CARLSON 355
Remarks about Hardy inequalities on metric trees
TOMAS EKHOLM, RUPERT L. FRANK, AND HYNEK KOVARIK 369
On the spectral gap in Andreev graphs
HOLGER FLECHSIG AND SVEN GNUTZMANN 381
An inverse spectral problem for Sturm-Liouville operators with singular
potentials on star-type graphs
G. FREILING, M. IGNATIEV, V. YURKO 397
Optimal Wegner estimates for random Schrodinger operators on metric graphs
MICHAEL J. GRUBER, MARIO HELM, AND IVAN VESELIC 409
Contraction semigroups on metric graphs
VADIM KOSTRYKIN, JURGEN POTTHOFF, AND ROBERT SCHRADER 423
Localization in a quasiperiodic model on quantum graphs
KONSTANTIN PANKRASHKIN 459
Equilateral quantum graphs and boundary triples
OLAF POS T 469
A conditionally convergent trace formula for quantum graphs
B. WIN N 491
Chapter 4. Applications
Revie w articles
Control problems on quantum graphs
SERGEI AVDONIN 507
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