By Dorothea Wagner (auth.), Takao Asano, Shin-ichi Nakano, Yoshio Okamoto, Osamu Watanabe (eds.)
This booklet constitutes the refereed lawsuits of the twenty second overseas 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 publication. This quantity comprises issues reminiscent of approximation algorithms; computational geometry; computational biology; computational complexity; information constructions; 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 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: 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. In: Proceedings of Symposium on the Theory of Computing, STOC (2010) 5. : Approximation Algorithms for Non-Uniform Buy-at-Bulk Network Design. SIAM J. on Computing 39(5), 1772–1798 (2009) 6.
Depending on the capacity bound C, it is possible to obtain a PTAS in the euclidean plane for some special cases (if the capacity is either small , or very large ). If we restrict the input to trees, there is a 2-approximation . Another constraint considered in literature is a bound D on the length of a vehicle tour, under the objective of minimizing the number of routes. This is the Distance Constrained Vehicle Routing Problem (DVRP). It was raised and studied for applications in  and .
We denote by P (u, v) and d(u, v) the unique path from u to v in T , and its corresponding length. For a subset of edges F , we let d(F ) := e∈F d(e). An Euler tour of a connected set of edges is a walk that visits each edge exactly twice. We note that subtrees of T that contain no vertices in W will never be visited by a bus in any optimal solution, and thus we can assume without loss of generality that all leaves of T contain children. In such an instance, a feasible solution will simply cover all of T with bus routes and thus is still feasible if every node of T contains a child (assuming inﬁnite capacities).