Algorithmic analysis demonstrates linear-time computation for graph components, indicating depth-first search yields optimal processing bounds.
The value of depth-first search or "bacltracking " as a technique for solving problems is illustrated by two examples. An improved version of an algorithm for finding the strongly connected components of a directed graph and ar algorithm for finding the biconnected components of an undirect graph are presented. The space and time requirements of both algorithms are bounded by k 1V + k2E d- k for some constants kl, k2, and k a, where Vis the number of vertices and E is the number of edges of the graph being examined.
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Robert E. Tarjan (1972) studied this question.
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