Depth-First Search and Linear Graph Algorithms
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中文
English
深度优先搜索与线性图算法*
摘要。通过两个例子说明深度优先搜索或“回溯”作为求解问题的一种技术的价值。给出一种改进的求有向图强连通分量的算法,以及一种求无向图双连通分量的算法。这两种算法的空间和时间需求均有界于,其中和为某些常数,为所考察图的顶点数,为所考察图的边数。
This section is missing here.
Robert Tarjan†
References
- B. L. FOX AND D. M. LANDY, An algorithm for identifying the ergodic subchains and transient states of a stochastic matrix, Comm. ACM, 11 (1968), pp. 619–621.
- S. W. GOLOMB AND L. D. BAUMERT, Backtrack programming, J. ACM, 12 (1965), pp. 516–524.
- F. HARARY, Graph Theory, Addison-Wesley, Reading, Mass., 1969.
- J. HOPCROFT AND R. TARJAN, Efficient algorithms for graph manipulation, Tech. Rep. 207, Computer Science Department, Stanford University, Stanford, Calif., 1971.
- ———, A V^2 algorithm for determining isomorphism of planar graphs, Information Processing Letters, 1 (1971), pp. 32–34.
- ———, Planarity testing in V log V steps: Extended abstract, Tech. Rep. 201, Computer Science Department, Stanford University, Stanford, Calif., 1971.
- J. HOPCROFT, An N log N algorithm for isomorphism of planar triply connected graphs, Tech. Rep. 192, Computer Science Department, Stanford University, Stanford, Calif., 1971.
- J. HOPCROFT AND R. TARJAN, Isomorphism of planar graphs, IBM Symposium on Complexity of Computer Computations, Yorktown Heights, N.Y., March, 1972, to be published by Plenum Press.
- J. HOPCROFT AND J. ULLMAN, A linear list-merging algorithm, Tech. Rep. 71-111, Cornell University Computer Science Department, Ithaca, N.Y., 1971.
- I. MUNRO, Efficient determination of the strongly connected components and transitive closure of a directed graph, Department of Computer Science, University of Toronto, 1971.
- N. J. NILSON, Problem Solving Methods in Artificial Intelligence, McGraw-Hill, New York, 1971.
- K. PATON, An algorithm for the blocks and cutnades of a graph, Comm. ACM, 14 (1971), pp. 468–475.
- P. W. PURDOM, A transitive closure algorithm, Tech. Rep. 33, Computer Sciences Department, University of Wisconsin, Madison, 1968.
- R. W. SHIREY, Implementation and analysis of efficient graph planarity testing algorithms, Doctoral thesis, Computer Sciences Department, University of Wisconsin, Madison, 1969.
- R. TARJAN, An efficient planarity algorithm, Tech. Rep. 244, Computer Science Department, Stanford University, Stanford, Calif., 1971.
Read off the page by a vision model reading the page images using olmOCR-2-7B-1025-FP8. Translated into 中文 by gpt-5, against glossary version 6. Translated from the English.
Read off the page by a vision model reading the page images using olmOCR-2-7B-1025-FP8.