On greedy and submodular matrices


Faigle, Ulrich and Kern, Walter and Peis, Britta (2011) On greedy and submodular matrices. In: First International ICST Conference on Theory and Practice of Algorithms in (Computer) Systems, TAPAS 2011, 18-20 April 2011, Rome, Italy (pp. pp. 116-126).

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Abstract:We characterize non-negative greedy matrices, i.e., 0-1 matrices A such that max {cTx|Ax ≤ b,x ≥ 0} can be solved greedily. We identify submodular matrices as a special subclass of greedy matrices. Finally, we extend the notion of greediness to {-1,0,+1\}-matrices. We present numerous applications of our results. [brace not closed]
Item Type:Conference or Workshop Item
Copyright:© 2011 Springer
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/76831
Official URL:https://doi.org/10.1007/978-3-642-19754-3_13
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