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A Dynamic Dictionary for Priced Information with Application

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Algorithms and Computation (ISAAC 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2906))

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Abstract

In this paper we design a dynamic dictionary for the priced information model initiated by [2,3]. Assume that a set S consisting of n elements is given such that each element has an associated price, a positive real number. The cost of performing an operation on elements of S is a function of their prices. The cost of an algorithm is the sum of the costs of all operations it performs. The objective is to design algorithms which incur low cost. In this model, we propose a dynamic dictionary, supporting insert, delete, and search for keys drawn from a linearly ordered set. As an application we show that the dictionary can be used in computing the trapezoidal map of a set of line segments.

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References

  1. Aho, A., Hopcroft, J., Ullman, J.: The design and analysis of computer algorithms. Addison-Wesley, Reading (1974)

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  2. Charikar, M., Fagin, R., Guruswami, V., Kleinberg, J., Raghavan, P., Sahai, A.: Query strategies for priced information. Journal of Computer and System Sciences 64 (2002)

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  3. Charikar, M., Fagin, R., Guruswami, V., Kleinberg, J., Raghavan, P., Sahai, A.: Query strategies for priced information (extended abstract). In: Proc. ACM Symp. on Theory of Computation, pp. 582–591. ACM, New York (2000)

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  5. Kannan, S., Khanna, S.: Selection with monotone comparison costs. In: Proc. ACMSIAM Symp. on Discrete Algorithms (2003)

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© 2003 Springer-Verlag Berlin Heidelberg

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Maheshwari, A., Smid, M. (2003). A Dynamic Dictionary for Priced Information with Application. In: Ibaraki, T., Katoh, N., Ono, H. (eds) Algorithms and Computation. ISAAC 2003. Lecture Notes in Computer Science, vol 2906. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24587-2_4

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  • DOI: https://doi.org/10.1007/978-3-540-24587-2_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20695-8

  • Online ISBN: 978-3-540-24587-2

  • eBook Packages: Springer Book Archive

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