Spider covers for prize-collecting network activation problem
Abstract
In the network activation problem, each edge in a graph is associated with an activation function, that decides whether the edge is activated from node-weights assigned to its end-nodes. The feasible solutions of the problem are the node-weights such that the activated edges form graphs of required connectivity, and the objective is to find a feasible solution minimizing its total weight. In this paper, we consider a prize-collecting version of the network activation problem, and present first non- trivial approximation algorithms. Our algorithms are based on a new LP relaxation of the problem. They round optimal solutions for the relaxation by repeatedly computing node-weights activating subgraphs called spiders, which are known to be useful for approximating the network activation problem.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2013
- DOI:
- 10.48550/arXiv.1310.5422
- arXiv:
- arXiv:1310.5422
- Bibcode:
- 2013arXiv1310.5422F
- Keywords:
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- Computer Science - Data Structures and Algorithms