Starting from linear chains of amino acids, the spontaneous folding of proteins into their elaborate 3D structures is one of the remarkable examples of biological self-organization. We investigated native state structures of 30 single-domain, two-state proteins, from complex networks perspective, to understand the role of topological parameters in proteins folding kinetics, at two length scales--as Protein Contact Networks (PCNs) and their corresponding Long-range Interaction Networks (LINs) constructed by ignoring the short-range interactions.