By Dorothea Wagner (auth.), Takao Asano, Shin-ichi Nakano, Yoshio Okamoto, Osamu Watanabe (eds.)
This publication constitutes the refereed lawsuits of the twenty second foreign Symposium on Algorithms and Computation, ISAAC 2011, held in Yokohama, Japan in December 2011. The seventy six revised complete papers provided including invited talks have been rigorously reviewed and chosen from 187 submissions for inclusion within the e-book. This quantity comprises themes corresponding to approximation algorithms; computational geometry; computational biology; computational complexity; facts buildings; allotted structures; graph algorithms; graph drawing and data visualization; optimization; on-line and streaming algorithms; parallel and exterior reminiscence algorithms; parameterized algorithms; online game concept and net algorithms; randomized algorithms; and string algorithms.
Read Online or Download Algorithms and Computation: 22nd International Symposium, ISAAC 2011, Yokohama, Japan, December 5-8, 2011. Proceedings PDF
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Additional info for Algorithms and Computation: 22nd International Symposium, ISAAC 2011, Yokohama, Japan, December 5-8, 2011. Proceedings
In the Bounded-Diameter or ShallowLight k-Steiner tree problem (SLkST), we are given an undirected graph G = (V, E) with terminals T ⊆ V containing a root r ∈ T , a cost function c : E → R+ , a length function : E → R+ , a bound L > 0 and an integer k ≥ 1. The goal is to ﬁnd a minimum c-cost r-rooted Steiner tree containing at least k terminals whose diameter under metric is at most L. The input to the Buy-at-Bulk k-Steiner tree problem (BBkST) is similar: graph G = (V, E), terminals T ⊆ V , cost and length functions c, : E → R+ , and an integer k ≥ 1.
Approximation algorithms for access network design. Algorithmica 32(2), 197–215 (2002); Preliminary version in Proc. of IEEE FOCS (1998) 2. : Buy-at-bulk network design. In: Proceedings of the 38th Annual Symposium on Foundations of Computer Science, FOCS 1997 (1997) 3. : Approximation Algorithms for the Directed k-Tour and k-stroll Problems. , Rolim, J. ) APPROX 2010, LNCS, vol. 6302. Springer, Heidelberg (2010) 4. : Detecting High Log-Densities – an O(n1/4 )-Approximation for Densest k-Subgraph.
The only previous result for SLkST was  which had ratio (O(log4 n), O(log2 n)). This was obtained by applying the following theorem iteratively: Theorem 2.  There is a polynomial time algorithm that given an instance of the SLkST problem with diameter bound L returns a k8 -Steiner tree with diameter at most O(log n · L) and cost at most O(log3 n · opt), where opt is the cost of an optimum shallow-light k-Steiner tree with diameter bound L. Then a set-cover type analysis yields an (O(log4 n), O(log2 n))-approximation for SLkST.
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