Topological measures.

N is the set of all nodes in the network, and n is the number of nodes. (x, y) is a link between nodes x and y, (x, y ∈ N). a(x, y) is the connection status between x and y: a(x, y) = 1 when link (x, y) exists; a(x, y) = 0 otherwise. Scale-aware versions are based on diffusion kernel where Kβ = eβ(A − D), A is the adjacency matrix and D is the degree matrix of the network. The diffusion level β determines the scale. Kβ(x, y) is the diffusion strength between node x and y.Topological measures.