By Jean-Daniel Boissonnat (auth.), Gerhard Goos, Juris Hartmanis, Jan van Leeuwen, D. T. Lee, Shang-Hua Teng (eds.)

The papers during this quantity have been chosen for presentation on the 11th Annual overseas Symposium on Algorithms and Computation (ISAAC 2000), hung on 18{20 December, 2000 on the Institute of data technological know-how, Academia Sinica, Taipei, Taiwan. earlier conferences have been held in Tokyo (1990), Taipei (1991), Nagoya (1992), Hong Kong (1993), Beijing (1994), Cairns (1995), Osaka (1996), Singapore (1997), Taejon (1998), and Chennai (1999). Submissions to the convention this 12 months have been performed solely electro- cally. due to the wonderful software program built by way of the Institute of data technological know-how, Academia Sinica, we have been in a position to perform nearly all conversation through the area broad internet. in accordance with the decision for papers, a complete of 87 prolonged abstracts have been submitted from 25 international locations. every one submitted paper used to be dealt with by means of not less than 3 application committee contributors, with the help of a few exterior reviewers, as indicated by way of the referee record present in the court cases. there have been many extra applicable papers than there has been house to be had within the symposium application, which made this system committee’s activity tremendous di cult. ultimately forty six papers have been chosen for presentation on the Symposium. as well as those contributed papers, the convention additionally incorporated invited shows by means of Dr. Jean-Daniel Boissonnat, INRIA Sophia-Antipolis, France and Professor Jin-Yi Cai, collage of Wisconsin at Madison, Wisconsin, united states. it's anticipated that almost all of the permitted papers will look in a extra entire shape in scienti c journals.

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Extra info for Algorithms and Computation: 11th International Conference, ISAAC 2000 Taipei, Taiwan, December 18–20, 2000 Proceedings

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Moreover, Raghavan and Snir [22] demonstrated that no memoryless randomized algorithm can be better than k-competitive. Since on-line algorithms are handicapped with imperfect information of the future, it is useful to investigate how the competitive ratio improves if they are compensated with larger caches. Although such results are known for FIFO, LRU and RAND, the corresponding knowledge for other randomized algorithms is limited. Young [25] showed that any randomized algorithm Ak at most roughly ln(k/(k − h))-competes with OPTh when k/(k − h) ≥ e.

Essentially Every Unimodular Matrix Defines an Expander 17 We next translate this lemma to integrals via Parseval equality. Lemma 19. For square integrable function φ on U with U |A∗ (φ) − φ|2 + U U √ |A˜∗ (φ) − φ|2 ≥ (4 − 2 3) φ = 0, U |φ|2 . Proof. By Parseval equality, for square integrable ψ, |ψ|2 = U |aq (ψ)|2 , q where aq (ψ) are the Fourier coefficients. Note that a0 (φ) = U φ = 0. By linearity and Lemma 16, aq (A∗ (φ) − φ) = aq (A∗ (φ)) − aq (φ) = aAq (φ) − aq (φ). Lemma 19 follows from Lemma 18.

What is important is the time (if ever) that a location is subsequently accessed. Thus, we shall adopt a representation for the adversary’s strategy in which the adversary directly specifies for each time step which cache slot to use and whether the cache hits or misses. In order to formalize the notion of a strategy, we first define some terminology. Cache behavior can be described by two sequences. A slot sequence S = s1 , s2 , . . , sn is a sequence of positive integers such that at time i = 1, .

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