Download Algorithms and Computation: 21st International Symposium, by David Eppstein (auth.), Otfried Cheong, Kyung-Yong Chwa, PDF

By David Eppstein (auth.), Otfried Cheong, Kyung-Yong Chwa, Kunsoo Park (eds.)

This e-book constitutes the refereed lawsuits of the twenty first foreign Symposium on Algorithms and Computation, ISAAC 2010, held in Jeju, South Korea in December 2010. The seventy seven revised complete papers offered have been rigorously reviewed and chosen from 182 submissions for inclusion within the booklet. This quantity includes themes equivalent to approximation set of rules; complexity; information constitution and set of rules; combinatorial optimization; graph set of rules; computational geometry; graph coloring; fastened parameter tractability; optimization; on-line set of rules; and scheduling.

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

Example text

S is called periodic if S = P i pref (P ), where i ∈ N, i ≥ 2, P is a substring of S such that |P | ≤ n/2, P i is the concatenation of P to itself i times, and pref (P ) is a prefix of P . The smallest such substring P is called the period of S. If S is not periodic it is called aperiodic. Remark. , |P | = p. Definition 2. Let P be a string of length p. Let n ∈ N such that 2 · p ≤ n. , n SP = P p pref (P ), where pref (P ) is the prefix of P of length n − np · p. Definition 3. Let S be n-long string over alphabet Σ.

An o(n log n) algorithm for finding all repetitions in a string. Journal of Algorithms 5, 422–432 (1984) 18. : Approximate periods of strings. , Paterson, M. ) CPM 1999. LNCS, vol. 1645, pp. 123–133. Springer, Heidelberg (1999) 19. : Design and implementation of an efficient priority queue. Mathematical systems Theory 10, 99–127 (1977) 20. : Linear pattern matching algorithm. In: Proc. 14 IEEE Symposium on Switching and Automata Theory, pp. 1–11 (1973) Approximating the Average Stretch Factor of Geometric Graphs Siu-Wing Cheng1 , Christian Knauer2 , Stefan Langerman3, , and Michiel Smid4 1 Department of Computer Science and Engineering, HKUST, Hong Kong 2 Institute of Computer Science, Universit¨at Bayreuth 3 D´epartement d’Informatique, Universit´e Libre de Bruxelles 4 School of Computer Science, Carleton University, Ottawa Abstract.

Si = S[i]S[i + 1] · · · S[n], and Sj = S[j]S[j + 1] · · · S[n]. Return LCP (Si , Sj ) = , the length of the longest common prefix of Si and Sj . The original implementation of the kangaroo method was via suffix trees [20] and Lowest Common Ancestor (LCA) queries [9]. It can also be implemented 1 For simplicity of exposition we will henceforth refer to positive integers of the form i + r · p, r ∈ [0.. n/p ] for some p ≤ n/2 as locations in S without mentioning explicitly the condition i + r · p ≤ n.

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