Gabriel Istrate, Cosmin Bonchis, Liviu P. Dinu. The Minimum Entropy Submodular Set Cover Problem . In Proceedings of the 10th International Conference on Language and Automata Theory and Applications (LATA' 2016), pp. 295306. Lecture Notes in Computer Science, vol. 9618, Springer Verlag , 2016.
Abstract:
We study minimum entropy submodular set cover, a variant of the submodular set cover problem (Wolsey, Fujito, etc) that generalizes the minimum entropy set cover problem (Halperin and Karp, Cardinal et al.)
We give a general bound of the approximation performance of the greedy algorithm using an approach that can be interpreted in terms
of a particular type of biased network flows. As an application we rederive known results for the Minimum Entropy Set Cover and Minimum Entropy Orientation problems, and obtain a nontrivial bound for a new problem called the Minimum Entropy Spanning Tree problem.
The problem can be applied to (and is partly motivated by) a worstcase approach to fairness in concave cooperative games.
Keywords:
submodular optimization, minimum entropy
URL:
http://link.springer.com/chapter/10.1007/9783319300009_23
Posted by
Gabriel Istrate
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