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A new distributed depth-first-search algorithm. (English) Zbl 0573.68013
This paper presents a new distributed Depth-First-Search (DFS) algorithm for an asynchronous communication network, whose communication and time complexities are O($$| E|)$$ and O($$| V|)$$, respectively. The output of the algorithm is the DFS tree, kept in a distributed fashion. The existing algorithm, due to T.-Y. Cheung [IEEE Trans. Software Eng. SE-9, 504-512 (1983; Zbl 0513.68066)], requires O($$| E|)$$ both in communication and time complexities.

##### MSC:
 68Q25 Analysis of algorithms and problem complexity 68N25 Theory of operating systems 68R10 Graph theory (including graph drawing) in computer science
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##### References:
 [1] Cheung, T., Graph traversal techniques and the maximum flow problem in distributed computation, IEEE trans. software engineering, SE-9, 4, 504-512, (1983) · Zbl 0513.68066 [2] Chang, E.J.H., Echo algorithms: depth parallel operations on general graphs, IEEE trans. software engineering, SE-8, 4, 391-401, (1982) [3] Arjomandi, E.R.; Corneil, D., Parallel computations in graph theory, SIAM J. comput., 7, (1978) [4] Eckshtein, D.; Alton, D., Parallel graph processing using depth-first search, () [5] Even, S., Graph algorithms, (1979), Computer Science Press Potomac, MD · Zbl 0441.68072
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