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The space complexity of the accessibility problem for undirected graphs of log n bounded genus

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Mathematical Foundations of Computer Science 1986 (MFCS 1986)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 233))

Abstract

We present an algorithm solving the accessibility problem and the connectivity problem for undirected n-vertex graphs of genus ≤ log n in 0(log2n/log log n) space. This improves the known upper bound by the factor log log n and shows an alternative to Savitchs devide and conquer method.

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References

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Jozef Gruska Branislav Rovan Juraj Wiedermann

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© 1986 Springer-Verlag Berlin Heidelberg

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Kriegel, K. (1986). The space complexity of the accessibility problem for undirected graphs of log n bounded genus. In: Gruska, J., Rovan, B., Wiedermann, J. (eds) Mathematical Foundations of Computer Science 1986. MFCS 1986. Lecture Notes in Computer Science, vol 233. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0016274

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  • DOI: https://doi.org/10.1007/BFb0016274

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16783-9

  • Online ISBN: 978-3-540-39909-4

  • eBook Packages: Springer Book Archive

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