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Planar Graph Blocking for External Searching

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FST TCS 2000: Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1974))

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Abstract

We present a new scheme for storing a planar graph in external memory so that any online path can be traversed in an I-O efficient way. Our storage scheme significantly improves the previous results for planar graphs with bounded face size. We also prove an upper bound on I-O efficiency of any storage scheme for well-shaped triangulated meshes. For these meshes, our storage scheme achieves optimal performance.

Work was supported in part by an Infosys PhD fellowship.

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References

  1. Pankaj K. Agarwal, Lars Arge, T.M. Murli, Kasturi R. Varadarajan, J.S. Vitter. I/O-efficient algorithms for contour-line extraction and planar graph blocking. 9th ACM-SIAM Symposium on Discrete Algorithms, 1998.

    Google Scholar 

  2. G.N. Fredrickson. Fast algorithms for shortest paths in planar graphs, with applications. SIAM Journal of Computing, 16, pp. 1004–1022, 1987.

    Article  Google Scholar 

  3. M.T. Goodrich, M.H. Nodine and J.S. Vitter. Blocking for external graph searching. Algorithmica, 16, pp. 181–214, August 1996.

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  4. John Hershberger and Subhash Suri. A pedestrian approach to ray shooting: shoot a ray, take a walk. Journal of Algorithms, 18, pp. 403–432, 1995.

    Article  MATH  MathSciNet  Google Scholar 

  5. R.J. Lipton and R.E. Tarjan. A separator theorem for planar graphs. SIAM journal of Applied Math., 36, pp. 177–189, 1979.

    Article  MATH  MathSciNet  Google Scholar 

  6. G. Miller. Balanced cyclic separator for 2-connected planar graphs. Journal of Computer and System Sciences, 32(3), pp. 265–279, 1986.

    Article  MATH  MathSciNet  Google Scholar 

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© 2000 Springer-Verlag Berlin Heidelberg

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Baswana, S., Sen, S. (2000). Planar Graph Blocking for External Searching. In: Kapoor, S., Prasad, S. (eds) FST TCS 2000: Foundations of Software Technology and Theoretical Computer Science. FSTTCS 2000. Lecture Notes in Computer Science, vol 1974. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44450-5_20

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  • DOI: https://doi.org/10.1007/3-540-44450-5_20

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41413-1

  • Online ISBN: 978-3-540-44450-3

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