Mathematic Expression Examples Definition Nodes in any two communities are Disjoint communities GraphG=g(v, E), the not overlap, community detection is to find the nc communities C={c1,C2,…,Cnc} I Otherwise Overlapping communities Nodes in communities cover all the nodes v in the network Communities in networksMathematic Expression Definition Examples Communities in networks Graph G = G(𝑉, 𝐸), the community detection is to find the 𝑛𝑐 communities ∁= {𝑐1, 𝑐2, … , 𝑐𝑛𝑐} Nodes in communities cover all the nodes 𝑉 in the network Nodes in any two communities are not overlap, Disjoint communities Otherwise, Overlapping communities