Title :
Implicit enumeration of strongly connected components
Author :
Aiguo Xie ; Beerel, P.A.
Author_Institution :
Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA
Abstract :
This paper presents a binary decision diagram (BDD) based implicit algorithm to compute all maximal strongly connected components (SCCs) of directed graphs. The algorithm iteratively applies reachability analysis and sequentially identifies SCCs. Experiments suggest that the algorithm dramatically outperforms the only existing implicit method which must compute the transitive closure of the adjacency matrix of the graphs.
Keywords :
binary decision diagrams; data structures; directed graphs; iterative methods; matrix algebra; reachability analysis; software performance evaluation; algorithm performance; binary decision diagram; directed graphs; graph adjacency matrix transitive closure computation; implicit enumeration; maximal strongly connected components; reachability analysis; sequential component identification; Algorithm design and analysis; Automata; Binary decision diagrams; Boolean functions; Data structures; Engineering profession; Iterative algorithms; Partitioning algorithms; Reachability analysis; State-space methods;
Conference_Titel :
Computer-Aided Design, 1999. Digest of Technical Papers. 1999 IEEE/ACM International Conference on
Conference_Location :
San Jose, CA, USA
Print_ISBN :
0-7803-5832-5
DOI :
10.1109/ICCAD.1999.810617