Abstract
The reoptimization issue studied in this paper can be described as follows: given an instance I of some problem Π, an optimal solution OPT for Π in I and an instance I′ resulting from a local perturbation of I that consists of insertions or removals of a small number of data, we wish to use OPT in order to solve Π in I′, either optimally or by guaranteeing an approximation ratio better than that guaranteed by an ex nihilo computation and with running time better than that needed for such a computation. In this setting we study the weighted version of max weighted P k -free subgraph. We then show, how the technique we use allows us to handle also bin packing.
Research supported by the French Agency for Research under the DEFIS program TODO, ANR-09-EMER-010.
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Boria, N., Monnot, J., Paschos, V.T. (2012). Reoptimization of the Maximum Weighted P k -Free Subgraph Problem under Vertex Insertion. In: Rahman, M.S., Nakano, Si. (eds) WALCOM: Algorithms and Computation. WALCOM 2012. Lecture Notes in Computer Science, vol 7157. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28076-4_10
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