Abstract. We consider Laplacians on periodic equilateral metric graphs. The
spectrum of the Laplacian consists of an absolutely continuous part (which is a
union of an infinite number of non-degenerate spectral bands) plus an infinite
number of flat bands, i.e., eigenvalues of infinite multiplicity. We estimate
the Lebesgue measure of the bands on a finite interval in terms of geometric
parameters of the graph. The proof is based on spectral properties of discrete
Laplacians.