CoresΒΆ
Find the k-cores of a graph.
The k-core is found by recursively pruning nodes with degrees less than k.
See the following references for details:
An O(m) Algorithm for Cores Decomposition of Networks Vladimir Batagelj and Matjaz Zaversnik, 2003. https://arxiv.org/abs/cs.DS/0310049
Generalized Cores Vladimir Batagelj and Matjaz Zaversnik, 2002. https://arxiv.org/pdf/cs/0202039
For directed graphs a more general notion is that of D-cores which looks at (k, l) restrictions on (in, out) degree. The (k, k) D-core is the k-core.
D-cores: Measuring Collaboration of Directed Graphs Based on Degeneracy Christos Giatsidis, Dimitrios M. Thilikos, Michalis Vazirgiannis, ICDM 2011. http://www.graphdegeneracy.org/dcores_ICDM_2011.pdf
core_number(G) |
Returns the core number for each vertex. |
k_core(G[, k, core_number]) |
Returns the k-core of G. |
k_shell(G[, k, core_number]) |
Returns the k-shell of G. |
k_crust(G[, k, core_number]) |
Returns the k-crust of G. |
k_corona(G, k[, core_number]) |
Returns the k-corona of G. |