Download PDF by Jean-Daniel Boissonnat (auth.), Gerhard Goos, Juris: Algorithms and Computation: 11th International Conference,

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

ISBN-10: 3540409963

ISBN-13: 9783540409960

ISBN-10: 3540412557

ISBN-13: 9783540412557

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 knowledge technological know-how, Academia Sinica, Taipei, Taiwan. prior 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 carried out fullyyt electro- cally. because of the superb software program constructed by means of the Institute of knowledge technological know-how, Academia Sinica, we have been capable of perform nearly all verbal exchange through the realm large net. in keeping 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 way of no less than 3 software committee individuals, with the help of a few exterior reviewers, as indicated via the referee record present in the lawsuits. there have been many extra appropriate papers than there has been area on hand within the symposium application, which made this system committee’s activity super di cult. ultimately forty six papers have been chosen for presentation on the Symposium. as well as those contributed papers, the convention additionally integrated invited displays by way of Dr. Jean-Daniel Boissonnat, INRIA Sophia-Antipolis, France and Professor Jin-Yi Cai, college of Wisconsin at Madison, Wisconsin, united states. it really is anticipated that almost all of the authorised papers will look in a extra entire shape in scienti c journals.

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

Sample text

Sn } to be the set of slots actually referenced in the sequence. Since the adversary gains no advantage by omitting reference to a slot, we assume that slots(S) = {1, . . , h}, where h = |slots(S)|. An outcome sequence Z = z1 , z2 , . . , zn is a sequence of 0’s and 1’s such that, for i = 1, . . , n, the cache hits at time i if and only if zi = 1. 42 C. E. Leiserson We shall often wish to refer to the last time that a particular slot was used. In particular, we let prev(S, i) be p if sp = si and si does not appear in sp+1 , .

We will first define the family of graphs. Denote the unit square by U = [0, 1)2 . For p = (i, j) ∈ Z2 , the translated square by p is denoted by Up = p + U . ˜ We define a set of “neighborhood” points as follows: For B = A, A, NB = {q ∈ Z2 | µ[U B ∩ Uq ] = 0}, where µ denotes the Lebesgue measure, and U B = {ξB | ξ ∈ U } is the image of U under B. For k ≥ 1, let the mod k “neighborhood” be NB,k = NB mod k. Note that the cardinality of NB,k is at most that of NB for every k. In particular since |NB | is independent of k, |NB,k | is bounded in k.

N, is served by a slot si ∈ slots(S). We focus on one of these slots. We shall later derive bounds for the whole strategy based on these single-slot results. 44 C. E. Leiserson Lemma 3. Let (S, Z) be an optimal strategy on a request sequence R with U inherent hits and V inherent misses. Consider any slot s ∈ slots(S) having u inherent hits and v inherent misses. Let t1 , . . , tu be the times at which the u inherent hits of slot s occur. Then, there exist nonnegative integers m1 , m2 , . . , mu u satisfying i=1 mi ≤ U + V − u − v, such that u u Pr {hit(RANDk , rti )} ≥ i=1 (1 − 1/k)mi .

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Algorithms and Computation: 11th International Conference, ISAAC 2000 Taipei, Taiwan, December 18–20, 2000 Proceedings by Jean-Daniel Boissonnat (auth.), Gerhard Goos, Juris Hartmanis, Jan van Leeuwen, D. T. Lee, Shang-Hua Teng (eds.)


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