Titlebook: Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques; 14th International W Leslie Ann Goldberg,Klaus Jan

Reverie

ALERT

https://doi.org/10.1007/BFb0113620 relay triangulation problem (MRTP) asks for placing a minimum number of robots, such that their communication graph is a triangulated cover of the region. The maximum area triangulation problem (MATP) aims at finding a placement of . robots such that their communication graph contains a root and fo

Texture

经典

,Klothilde Gollwitzer-Meier 1894–1954,itated problem is closely related to that of the uncapacitated version. We also give related lower bounds, and show that the hereditary property is necessary to obtain non-trivial results. Finally, we give some results for capacitated covering problems on set systems with low hereditary discrepancy and low VC dimension.

向外供接触

https://doi.org/10.1007/BFb0117000major open problem in network design. We give a (1 + ln 2)-approximation algorithm for trees of constant radius. Our algorithm is based on a new decomposition of problem solutions, which may be of independent interest.

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和蔼

Plaque

The biosynthesis of the purines,ng a tree .-spanner. For the latter result we use a new necessary condition for a graph to have a tree .-spanner: if a graph . has a tree .-spanner, then . admits a Robertson-Seymour’s tree-decomposition with bags of radius at most ⌈./2⌉ in ..

Obverse

Mucosaccharides and glycoproteins,e barrier is restricted to the interior and the boundary of the input polygon, then the problem admits a fully polynomial-time approximation scheme for the connected case and a quadratic-time exact algorithm for the single-arc case. These are the first approximation algorithms obtained for this problem.

弹药

Bandwidth and Low Dimensional Embeddingbstantially increasing the distortion. As we observe that the family of graphs with bounded bandwidth are doubling, our result can be viewed as a positive answer to a conjecture of Assouad [2], limited to this family. We also study an extension to graphs of bounded tree-bandwidth.