The algebra of eikonals $\mathfrak E$ of a metric graph $\Omega$ is an

operator $C^*$-algebra determined by dynamical system with boundary control

that describes wave propagation on the graph. In this paper, two canonical

block forms (algebraic and geometric) of the algebra $\mathfrak E$ are provided

for an arbitrary connected locally compact graph. These forms determine some

metric graphs (frames) $\mathfrak F^{\,\rm a}$ and $\mathfrak F^{\,\rm g}$.

Frame $\mathfrak F^{\,\rm a}$ is determined by the boundary inverse data. Frame

$\mathfrak F^{\,\rm g}$ is related to graph geometry. A class of ordinary

graphs is introduced, whose frames are identical: $\mathfrak F^{\,\rm

a}\equiv\mathfrak F^{\,\rm g}$. The results are supposed to be used in the

inverse problem that consists in determination of the graph from its boundary

inverse data.