Bron-Kerbosch maximal clique finding algorithm
[MC] = MAXIMALCLIQUES(A,V_STR) Given a graph's boolean adjacency matrix, A, find all maximal cliques on A using the Bron-Kerbosch algorithm in a recursive manner.
V_STR is an optional input string with the version of the Bron-Kerbosch algorithm to be used (either 'v1' or 'v2'). Version 2 is faster (and default), and version 1 is included for posterity.
The output matrix MC contains the maximal cliques in its columns.
Note: This function can be used to compute the maximal independent sets of a graph A by providing the complement of A as the input graph.
Note: This function can be used to compute the maximal matchings of a graph A by providing the complement of the line graph of A as the input graph.
Ref: Bron, Coen and Kerbosch, Joep, "Algorithm 457: finding all cliques of an undirected graph", Communications of the ACM, vol. 16, no. 9, pp: 575–577, September 1973.
Ref: Cazals, F. and Karande, C., "A note on the problem of reporting maximal cliques", Theoretical Computer Science (Elsevier), vol. 407, no. 1-3, pp: 564-568, November 2008.
引用格式
Jeffrey Wildman (2024). Bron-Kerbosch maximal clique finding algorithm (https://www.mathworks.com/matlabcentral/fileexchange/30413-bron-kerbosch-maximal-clique-finding-algorithm), MATLAB Central File Exchange. 检索来源 .
MATLAB 版本兼容性
平台兼容性
Windows macOS Linux类别
标签
致谢
参考作品: Maximal Cliques, Bron-Kerbosch maximal independent set and maximal clique algorithms, Maximal Independent Sets using JGraphT
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!