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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. 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 totally electro- cally. because of the superb software program built by way of the Institute of data technology, Academia Sinica, we have been in a position to perform almost all verbal exchange through the realm huge net. based on the decision for papers, a complete of 87 prolonged abstracts have been submitted from 25 international locations. every one submitted paper was once dealt with by means of a minimum of 3 application committee participants, with the help of a few exterior reviewers, as indicated by way of the referee checklist present in the court cases. there have been many extra appropriate papers than there has been area to be had within the symposium application, which made this system committee’s activity tremendous di cult. eventually forty six papers have been chosen for presentation on the Symposium. as well as those contributed papers, the convention additionally incorporated invited shows through Dr. Jean-Daniel Boissonnat, INRIA Sophia-Antipolis, France and Professor Jin-Yi Cai, collage of Wisconsin at Madison, Wisconsin, united states. it really is anticipated that almost all of the permitted papers will seem in a extra whole shape in scienti c journals.

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

Example text

19] studied competitive analysis for randomized replacement algorithms, in which context the expected miss rates are compared to the miss rates of OPT. Fiat et al. [11] showed that randomized replacement algorithms are at least Hk -competitive, where Hk is the kth harmonic number. They also gave a simple 2Hk -competitive algorithm MARKINGk . Also Hk -competitive are the algorithms PARTITIONk [21] and EQUITABLEk [1]. Considering memoryless algorithms, Borodin and El-Yaniv [4] showed that RANDk k/(k−h+1)-competes with OPTh .

Definition 1. A strategy is a pair (S, Z), where S is a slot sequence and Z is a hit sequence of the same length. As discussed in Sect. 3, given any request sequence R, the algorithm OPT determines the outcome and the slot to use at each time i = 1, . . , n. The following theorem shows that a request sequence can also be deduced from a slot sequence and an outcome sequence. Thus, designing an adversarial strategy is essentially equivalent to designing an adversarial request sequence. Theorem 2.

N from left to right and for some permutation π of the set 1, 2, . . , N the i-th node is assigned probability pπ(i) , for each i = 1, 2, . . , N . If π is the identity permutation and p1 ≥ p2 ≥ · · · ≥ pN then we say that the distribution is sorted. 2 Arbitrary Directed Acyclic Graphs In this section we prove that the problem of optimal assignment of hotlinks in arbitrary directed acyclic graphs is NP-hard, even for uniform distributions. More precisely, consider the following optimization problem.

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