Triangle k Core
From visone user support
The triangle k core, or k truss has been intoduced by Cohen (NSA Tech. Report 2008) and Zhang and Parthasarathy (ICDE 2012) independently and runs in time, where Δ(G) is the maximum degree and m the number of edges.
Definition Triangle Core
The triangle k-core of a simple undirected graph G = (V,E) is the inclusion maximal subgraph where each edge is part of at least k triangles in Ck(G).
More detailed background information is provided in
- Cohen, Jonathan. "Trusses: Cohesive subgraphs for social network analysis." National Security Agency Technical Report (2008).
- Zhang, Yang, and Srinivasan Parthasarathy. "Extracting analyzing and visualizing triangle k-core motifs within networks." In Data Engineering (ICDE), 2012 IEEE 28th International Conference on, pp. 1049-1060. IEEE, 2012.
Definition Triangle Core Number
The triangle core number of an edge is the maximal k such that