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How to Splay for loglogN-Competitiveness

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Experimental and Efficient Algorithms (WEA 2005)

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Abstract

We present an extension of the splay technique, the chain-splay. Chain-splay trees splay the accessed element to the root exactly as classic splay trees do, but also perform some local ‘house-keeping’ splay operations below the accessed element. We prove that chain-splay is loglogN-competitive to any off-line searching algorithm. This result is the nearest point to dynamic optimality of splay trees reached since 1983.

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Georgakopoulos, G.F. (2005). How to Splay for loglogN-Competitiveness. In: Nikoletseas, S.E. (eds) Experimental and Efficient Algorithms. WEA 2005. Lecture Notes in Computer Science, vol 3503. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11427186_49

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  • DOI: https://doi.org/10.1007/11427186_49

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25920-6

  • Online ISBN: 978-3-540-32078-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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