Canonical Representation of the Eikonal Algebra of Three-Ray Star

In this paper, we consider a metric graph of the simplest structure, which is a three-ray star with edges of pairwise different lengths. For it, all steps of the procedure which reduces the algebra of the eikonals of the graph to a canonical form, are described in detail. Using this form, the spectrum of the eikonal algebra is endowed with a graph structure.