By Otfried Cheong, Kyung-Yong Chwa, Kunsoo Park

This quantity includes the complaints of the twenty first Annual foreign S- posium on Algorithms and Computations (ISAAC 2010), held in Jeju, Korea in the course of December 15-17, 2010. earlier 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 diversity of issues in algorithms and computation. the most objective of the symposium is to supply a discussion board for researchers operating in algorithms and the idea of computation the place they could trade principles during this energetic examine neighborhood. in accordance with the decision for papers, ISAAC 2010 obtained 182 papers. every one submission was once reviewed through no less than 3 application Committee contributors with the help of exterior referees. due to the fact that there have been many top quality papers, this system Committee's activity was once tremendous di?cult. via an in depth dialogue, this system Committee permitted seventy seven of the submissions to be p- sented on the convention. certain concerns, one in every of Algorithmica and one of many overseas magazine of Computational Geometry and Applications,were ready with chosen papers from ISAAC 2010. the simplest paper award used to be given to "From Holant to #CSP and again: c DichotomyforHolant Problems"byJin-YiCai,SangxiaHuangandPinyanLu, and the simplest scholar paper award to "Satis?ability with Index Dependency" through Hongyu Liang and Jing He. eminent invited speakers,David Eppstein from UniversityofCalifornia,Irvine,andMattFranklinfromUniversityofCalifornia, Davis, additionally contributed to this quantity

**Read or Download Algorithms and Computation: 21st International Symposium, ISAAC 2010, Jeju Island, Korea, December 15-17, 2010, Proceedings, Part II PDF**

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

**Example text**

By traversing downwards from the root r, we ﬁnd a set C of O(log n) nodes which represent the O(log n) canonical pieces of the interval [i, j]. Then, we have succ(L[i, j], s) = min{succ(L[bv , ev ], s) | v ∈ C} = min{succ(Av , s) | v ∈ C}. Let CT be the subtree of GT that is induced by the nodes in C and their ancestors. -C. -F. -C. Kuo The size of CT is O(log n). For each node v ∈ C, the position kv = succ−1 (Av , s) can be obtained in O(log n) time by using bridges. After the values of all kv , where v ∈ C, are available, the task becomes to identify the minimum among all Av [kv ], without explicitly storing the sorted sequences Av .

Of the 36th STOC, pp. 54–63 (2004) 14. : Pastry: A Scalable, Decentralized Object Location, and routing for large-scale peer-to-peer systems. In: Liu, H. ) Middleware 2001. LNCS, vol. 2218, pp. 329–350. Springer, Heidelberg (2001) 15. : Family trees: An Ordered Dictionary with Optimal Congestion, Locality, Degree and Search Time. In: Proc. of the 15th SODA, pp. 301–310 (2004) 16. : DHT-Based Range Query Processing for Web Service Discovery. In: Proc. of the 2009 IEEE ICWS, pp. 477–484 (2009) 17.

However, these data structures do not achieve O(logcB N ) query bound for any B and a constant c. In the case when B = Ω((log2 N )f (N ) ) for some function f (N ) = Ω(1), we need Ω(f (N ) log2B N ) + k O( B ) I/O operations to answer queries using the combination of [9] and [5] or the result of [2]. We also don’t know if there are eﬃcient (static or dynamic) data structures for range reporting in d ≥ 4 dimensions that report all points in O(1) k logB N + O( B ) I/O operations. In this paper we describe a data structure that uses O( N log22 N log22 B) B 3 blocks of space, supports updates in O(log2 N ) amortized I/Os, and answers k three-dimensional orthogonal range reporting queries in O(log2B N + B ) I/Os.