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On the hierarchy of distribution-sensitive properties for data structures

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Abstract

In this paper new dependencies are added to the hierarchy of the distribution-sensitive properties for data structures. Most remarkably, we prove that the working-set property is equivalent to the unified-bound property; a fact that had gone unnoticed since the introduction of such bounds in the Eighties by Sleator and Tarjan.

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References

  • Brodal, G.S., Fagerberg, R.: Funnel heap—a cache oblivious priority queue. In: Proceedings of the 13th International Symposium on Algorithms and Computation. Lecture Notes in Computer Science, vol. 2518, pp. 219–228. Springer, Berlin (2002)

  • Bǎdoiu, M., Cole, R., Demaine, E.D., Iacono, J.: A unified access bound on comparison-based dynamic dictionaries. Theor. Comput. Sci. 382(2), 86–96 (2007)

    Article  Google Scholar 

  • Cole, R.: On the dynamic finger conjecture for splay trees. Part II: finger searching. SIAM J. Comput. 30, 44–85 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  • Elmasry, A.: On the sequential access theorem and dequeue conjecture for splay trees. Theor. Comput. Sci. 314(3), 459–466 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  • Elmasry, A.: A priority queue with the working-set property. Int. J. Found. Comput. Sci. 17(6), 1455–1466 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  • Elmasry, A., Iacono, J., Farzan, A.: A unifying property for distribution-sensitive priority queues. In: Proceedings of the 22nd International Workshop on Combinatorial Algorithms. Lecture Notes in Computer Science, vol. 7056, pp. 209–222. Springer, Berlin (2011)

  • Fischer, M.J., Paterson, M.: Fishspear: a priority queue algorithm. J. ACM 41(1), 3–30 (1994)

    Article  MATH  Google Scholar 

  • Iacono, J.: Improved upper bounds for pairing heaps. In: Proceedings of the 7th Scandinavian Workshop on Algorithm Theory. Lecture Notes in Computer Science, vol. 1851, pp. 32–45. Springer, Berlin (2000)

  • Iacono, J.: Distribution-sensitive data structures. Ph.D. Thesis, Rutgers, The state University of New Jersey, New Brunswick (2001)

  • Iacono, J., Langerman, S.: Queaps. Algorithmica 42(1), 49–56 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  • Shannon, C., Weaver, W.: The Mathematical Theory of Communication. University of Illinois Press, Urbana (1949)

    MATH  Google Scholar 

  • Sleator, D.D., Tarjan, R.E.: Self-adjusting binary search trees. J. ACM 32(3), 652–686 (1985)

    Article  MathSciNet  MATH  Google Scholar 

  • Steele, J.M.: The Cauchy–Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities. Cambridge University Press, New York (2004)

    Book  Google Scholar 

  • Tarjan, R.E.: Sequential access in splay trees takes linear time. Combinatorica 5(4), 367–378 (1985)

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Amr Elmasry.

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Amr Elmasry: Supported by fellowships from Alexander von Humboldt and VELUX foundations.

John Iacono: Research partially supported by NSF grants CCF-0430849, CCF-1018370, and an Alfred P. Sloan fellowship, and by MADALGO—Center for Massive Data Algorithmics, a Center of the Danish National Research Foundation, Aarhus University.

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Elmasry, A., Farzan, A. & Iacono, J. On the hierarchy of distribution-sensitive properties for data structures. Acta Informatica 50, 289–295 (2013). https://doi.org/10.1007/s00236-013-0180-8

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