Titlebook: Algorithms - ESA 2009; 17th Annual European Amos Fiat,Peter Sanders Conference proceedings 2009 Springer-Verlag Berlin Heidelberg 2009 Sche

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Creditee

強(qiáng)所

的闡明

A Linear Time Algorithm for ,(2,1)-Labeling of Trees algorithm for trees had been .(Δ..) for more than a decade, and an .( min {..,Δ..})-time algorithm has appeared recently, where Δ is the maximum degree of . and .?=?|.(.)|, however, it has been open if it is solvable in linear time. In this paper, we finally settle this problem for .(2,1)-labeling of trees by establishing a linear time algorithm.

Foment

gerrymander

Iterative Rounding for Multi-Objective Optimization Problemsl-time approximation schemes that, for any constant .>?0 and .?≥?1, compute a solution violating each budget constraint at most by a factor (1?+?.). The weight of the solution is optimal for the first two problems, and (1???.)-approximate for the last one.

不可比擬

改良

Betriebswirtschaftliche Beitr?geive a 2...-approximation algorithm. This is the first polynomial-time approximation algorithm for this problem with approximation ratio depending only on ., for any .?>?1. Our approach starts from iterated LP relaxation, and then uses probabilistic and greedy methods to recover a feasible solution.

仔細(xì)閱讀

https://doi.org/10.1007/978-3-7091-4804-4the boundary of a convex body in ?.. The number of edges in these spanners is .(.log.). This bound on the stretch factor is nearly optimal: in any finite metric space and for any .>?0, it is possible to assign weights to the elements such that any non-complete graph has stretch factor larger than 2???..

劇本