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A simple systolic method to find all bridges of an undirected graph

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Graph-Theoretic Concepts in Computer Science (WG 1988)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 344))

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Abstract

An algorithm to find all bridges of an undirected graph on a mesh-connected processor array is presented. Asymptotically it has the same complexity in terms of time and space as the best previous known algorithm, the one of [1]. But it has a significantly simpler structure and therefore, it gains a constant factor of about two in time.

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7. References

  1. M. J. Atallah, S. R. Kosaraju, Graph Problems on a Mesh-Connected Processor Array, JACM, Vol 31, No 3, July 1984, 649–667.

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  2. L. J. Guibas, H. T. Kung, C. D. Thompson, Direct VLSI Implementation of Combinatorial Algorithms, In Proc. Caltec Conf. on VLSI, 1979, 509–525.

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  3. H.-W. Lang, Transitive Closure on an Instruction Systolic Array, to appear in Proc. Int. Conf. on Systolic Arrays, San Diego, California, May 1988.

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  4. J. D. Ullman, Computational Aspects of VLSI, Computer Science Press, Rockville, Maryland, 1984.

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  5. M. Zubair, B. B. Madan, Efficient Systolic Algorithm for Finding Bridges in a Connected Graph, Parallel Computing, 6, 1988, 57–61

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J. van Leeuwen

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© 1989 Springer-Verlag Berlin Heidelberg

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Schimmler, M., Schröder, H. (1989). A simple systolic method to find all bridges of an undirected graph. In: van Leeuwen, J. (eds) Graph-Theoretic Concepts in Computer Science. WG 1988. Lecture Notes in Computer Science, vol 344. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-50728-0_49

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  • DOI: https://doi.org/10.1007/3-540-50728-0_49

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50728-4

  • Online ISBN: 978-3-540-46076-3

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