Chalcogenide glasses, from the Ge_xIn_ySe_100−x−y system with y=6 and 12 at%, have been prepared from high purity Ge, In and Se. The compactness, δ, of the structure of the glasses is determined from the measured densities of the glasses. The peculiarities observed in the δ-composition dependence are interpreted by using the ordered bond network model and the topological models proposed to describe the atomic arrangements in these solids.