Cluster-dense networks

Small-world networks, exhibiting short nodal distances and high clustering, and scale-free networks, typified by a scale-free, power-law node-degree distribution, have been shown to be widespread both in natural and artificial systems. We propose a new type of network -- cluster-dense network -- characterized by multiple clusters that are highly intra-connected and sparsely inter-connected. Employing two graph-theoretic measures -- local density and relative density -- we demonstrate that such networks are prevalent in the world of networks.