منابع مشابه
Shifted matroid optimization
We show that finding lexicographically minimal n bases in a matroid can be done in polynomial time in the oracle model. This follows from a more general result that the shifted optimization problem over a matroid can be solved in polynomial time as well. We also solve these problems for intersections of strongly base orderable matroids. © 2016 Elsevier B.V. All rights reserved.
متن کاملLexicographic Matroid Optimization
We show that finding lexicographically minimal n bases in a matroid can be done in polynomial time in the oracle model. This follows from a more general result that the shifted problem over a matroid can be solved in polynomial time as well.
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We consider a problem of maximizing convex functionals over matroid bases. It is richly expressive and captures certain quadratic assignment and clustering problems. While generally intractable, we show that it is efficiently solvable when a suitable parameter is restricted.
متن کاملConvex Matroid Optimization
We consider a problem of optimizing convex functionals over matroid bases. It is richly expressive and captures certain quadratic assignment and clustering problems. While generally NP-hard, we show it is polynomial time solvable when a suitable parameter is restricted.
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Shifted combinatorial optimization is a new nonlinear optimization framework which is a broad extension of standard combinatorial optimization, involving the choice of several feasible solutions at a time. This framework captures well studied and diverse problems ranging from so-called vulnerability problems to sharing and partitioning problems. In particular, every standard combinatorial optim...
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ژورنال
عنوان ژورنال: Operations Research Letters
سال: 2016
ISSN: 0167-6377
DOI: 10.1016/j.orl.2016.05.013