A hierarchical edge-weight network (HEWN) of solving the maximum clique problem was presented in [1]. With the help of HEWN, the maximum clique problem was solved in polynomial time [1]. In this paper, the HEWN algorithm was anatomized with starting from the storage structure of HEWN. In the anatomizing procedure, by compared with the maximum complete subgraph tree (MCST) algorithm, we point out that when 2j>n, the underlying exponential times of creating and modifying the guiding matrices (GMs) exists in the HEWN algorithm, and its time complexity is O( j n C2j - ), where n is the number of the vertices in a graph and j is the size of the maximum clique in the graph.
Citation:
Aili Han, Daming Zhu, "Complexity Analysis for the HEWN Algorithm," isda, vol. 1, pp.1015-1019, Sixth International Conference on Intelligent Systems Design and Applications (ISDA'06) Volume 1, 2006