By Micha Sharir (auth.), C. Pandu Rangan, V. Raman, R. Ramanujam (eds.)
This booklet constitutes the refereed lawsuits of the nineteenth convention on Foundations of software program expertise and Theoretical computing device technological know-how, FSTTCS'99, held in Chennai, India, in December 1999.
The 30 revised complete papers offered have been rigorously reviewed and chosen from a complete of eighty four submissions. additionally integrated are six invited contributions. The papers provided deal with all present concerns in theoretical computing device technological know-how and programming concept.
Read or Download Foundations of Software Technology and Theoretical Computer Science: 19th Conference Chennai, India, December 13-15, 1999 Proceedings PDF
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Extra resources for Foundations of Software Technology and Theoretical Computer Science: 19th Conference Chennai, India, December 13-15, 1999 Proceedings
22, 23, 23, 31, 31 11. : Combine and conquer. Algorithmica 18 (1997) 51–73. 22 12. : A fast algorithm for particle simulations. Journal of Computational Physics 73 (1987) 325–348. 28, 28 13. : A data structure for dynamically maintaining rooted trees. Proc. ACM-SIAM Symposium on Discrete Algorithms (1993) 175–194. 22 14. : Query-Sensitive ray shooting. International Journal of Computational Geometry and Applications 7 (1997) 317–347. 22 Dynamic Compressed Hyperoctrees with Application to the N-body Problem 33 15.
Hyperoctree is a popular data structure for organizing multidimensional point data. The main drawback of this data structure is that its size and the run-time of operations supported by it are dependent upon the distribution of the points. Clarkson rectiﬁed the distributiondependency in the size of hyperoctrees by introducing compressed hyperoctrees. He presents an O(n log n) expected time randomized algorithm to construct a compressed hyperoctree. In this paper, we give three deterministic algorithms to construct a compressed hyperoctree in O(n log n) time, for any ﬁxed dimension d.
A DIAT tree T for S1 ∪ S2 can be constructed in O(|S1 | + |S2 |) time by merging T1 and T2 . To merge T1 and T2 , we start at their roots r1 and r2 . Suppose that at some stage during the execution of the algorithm, we are at node v1 in T1 and at node v2 in T2 with the task of merging the subtrees rooted at v1 and v2 . An invariant of the merging algorithm is that L(v1 ) and L(v2 ) cannot be disjoint. Furthermore, it can be asserted that L(v1 ) ∩ L(v2 ) ⊇ S(v1 ) ∪ S(v2 ). For convenience, assume that a node may be empty.