By Otfried Cheong, Kyung-Yong Chwa, Kunsoo Park

ISBN-10: 3642175139

ISBN-13: 9783642175138

This quantity includes the complaints of the twenty first Annual overseas S- posium on Algorithms and Computations (ISAAC 2010), held in Jeju, Korea in the course of December 15-17, 2010. previous variants were held in Tokyo, Taipei, Nagoya,HongKong,Beijing,Cairns,Osaka,Singapore,Taejon,Chennai,Taipei, Christchurch, Vancouver, Kyoto, Hong Kong, Hainan, Kolkata, Sendai, Gold Coast, and Hawaii through the years 1990-2009. ISAACis anannualinternationalsymposiumthatcoversthe verywide variety of themes in algorithms and computation. the most goal of the symposium is to supply a discussion board for researchers operating in algorithms and the speculation of computation the place they could alternate rules during this energetic learn group. based on the decision for papers, ISAAC 2010 got 182 papers. every one submission used to be reviewed via a minimum of 3 software Committee contributors with the help of exterior referees. seeing that there have been many top of the range papers, this system Committee's job was once super di?cult. via an intensive dialogue, this system Committee authorised seventy seven of the submissions to be p- sented on the convention. designated matters, one in all Algorithmica and one of many overseas magazine of Computational Geometry and Applications,were ready with chosen papers from ISAAC 2010. the easiest paper award used to be given to "From Holant to #CSP and again: c DichotomyforHolant Problems"byJin-YiCai,SangxiaHuangandPinyanLu, and the simplest pupil paper award to "Satis?ability with Index Dependency" by way of Hongyu Liang and Jing He. eminent invited speakers,David Eppstein from UniversityofCalifornia,Irvine,andMattFranklinfromUniversityofCalifornia, Davis, additionally contributed to this quantity

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Additional resources for Algorithms and Computation: 21st International Symposium, ISAAC 2010, Jeju Island, Korea, December 15-17, 2010, Proceedings, Part II

Example text

Kuo particular, for |Σ| = O(polylog(n)), we present an O(n)-word index with O(p) query time. This is the first result which uses O(n) space while achieving O(p) query time. Table 1 summarizes the above results. Our model of computation is a unit-cost RAM with word size of log n bits. Table 1. Indexes for positional pattern matching [11] [6] [22] Ours Space Query time Remarks O(n log n) O(n1+ε ) O(n) O(n) O(p + log log n) O(p) O(p + log n/ log log n) O(p) |Σ| = O(polylog(n)) A problem closely related to the positional pattern matching problem is called the position-restricted pattern matching problem, introduced by M¨ akinen and Navarro [14].

C. Kuo segment tree GT . Let U be the sorted sequence of the occurrences of P in T [s, n]. Recall that to answer a PPM query, the interval [bμ(P ) , eμ(P ) ] is decomposed into O(log n) canonical pieces. Let C be the set of the O(log n) nodes that represent the pieces. Then, U can be obtained by merging the |C| sequences Av (succ−1(Av , s), |Av |), where v ∈ C. Here, we use Willard’s Q∗ -heap [21] for the merge. The Q∗ -heap maintains a set S of O(polylog(n)) integers in {1, 2, . . , n} using O(|S|) space and supports each insertion, deletion, and find-min operation in O(1) time, where a find-min operation returns the smallest element in the heap.

The space usage is measured in the number of blocks, and the time complexity is measured in the number of I/O operations. g. [22] or [4]. Since we are interested in minimizing the number of I/O O(1) k operations, an efficient data structure should support queries in logB N +O( B ) I/O operations. , [3] for a survey of previous results. In the external memory model, these results can be matched only in two dimensions (dynamic data structure) and three dimensions (static data structure). The dynamic data structure of Arge et al.

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Algorithms and Computation: 21st International Symposium, ISAAC 2010, Jeju Island, Korea, December 15-17, 2010, Proceedings, Part II by Otfried Cheong, Kyung-Yong Chwa, Kunsoo Park

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