Geodesic
Canonical representation of eiconals algebra of three-ray star
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 51, Tome 506 (2021), pp. 57-78

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The paper considers a metric graph of the simplest structure, which is a three-ray star with edges of different lengths in pairs. For it, all steps of the procedure that reduces the eikonal algebra of the graph to the canonical form, are described in detail. Using this form, the spectrum of the algebra is equipped with a graph structure. 
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     author = {A. V. Kaplun},
     title = {Canonical representation of eiconals algebra of three-ray star},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {57--78},
     publisher = {mathdoc},
     volume = {506},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_506_a6/}
}
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A. V. Kaplun. Canonical representation of eiconals algebra of three-ray star. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 51, Tome 506 (2021), pp. 57-78. http://geodesic.mathdoc.fr/item/ZNSL_2021_506_a6/