ENUMERATING ALL SIMPLE PATHS IN A GRAPH

被引:28
作者
RUBIN, F
机构
来源
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS | 1978年 / 25卷 / 08期
关键词
D O I
10.1109/TCS.1978.1084515
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
S. Warshall's Theorem is used to obtain a matrix power algorithm for enumerating all simple paths in a graph. The algorithm uses O(N**3) matrix operations, compared to 0(N**4) operations for previous algorithms.
引用
收藏
页码:641 / 642
页数:2
相关论文
共 5 条
[1]  
AHO AV, 1974, DESIGN ANAL COMPUTER, P195
[2]   ON FINDING SIMPLE PATHS AND CIRCUITS IN A GRAPH [J].
DANIELSON, GH .
IEEE TRANSACTIONS ON CIRCUIT THEORY, 1968, CT15 (03) :294-+
[3]   ALGORITHM-97 - SHORTEST PATH [J].
FLOYD, RW .
COMMUNICATIONS OF THE ACM, 1962, 5 (06) :345-345
[4]  
PONSTEIN J, 1966, J SIAM, V14, P600
[5]   A THEOREM ON BOOLEAN MATRICES [J].
WARSHALL, S .
JOURNAL OF THE ACM, 1962, 9 (01) :11-&