Geodesic
Embedded spectrum on a~metric graph (an observation)
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems. Part VIII, Tome 300 (2003), pp. 215-220

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An elementary example of a simplest star-like graph which shows that the analytical disjunction may occur not on only at isolated points of the spectral parameter, but also on whole intervals, are suggested. 
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     author = {V. L. Oleinik and B. S. Pavlov},
     title = {Embedded spectrum on a~metric graph (an observation)},
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     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_300_a20/}
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V. L. Oleinik; B. S. Pavlov. Embedded spectrum on a~metric graph (an observation). Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems. Part VIII, Tome 300 (2003), pp. 215-220. http://geodesic.mathdoc.fr/item/ZNSL_2003_300_a20/