منابع مشابه
Convex Matroid Optimization
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.
متن کاملEuler Polytopes and Convex Matroid Optimization
Del Pia and Michini recently improved the upper bound of kd due to Kleinschmidt and Onn for the largest possible diameter of the convex hull of a set of points in dimension d whose coordinates are integers between 0 and k. We introduce Euler polytopes which include a family of lattice polytopes with diameter (k + 1)d/2, and thus reduce the gap between the lower and upper bounds. In addition, we...
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.
متن کاملShifted 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.
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ژورنال
عنوان ژورنال: SIAM Journal on Discrete Mathematics
سال: 2003
ISSN: 0895-4801,1095-7146
DOI: 10.1137/s0895480102408559