We provide a new characterization for matroids which is useful for sensitivity analysis and for solving certain max min matroid optimization problems.
Abstract: We provide a new characterization for matroids which is useful for sensitivity analysis and for solving certain max min matroid optimization problems.
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Dec 13, 2023 · This forms a generalized exchange property of matroids w.r.t. the arbitrary partition B1,…, ... application of matroid union.) At first, we ...
Missing: max- min- problems.
Jan 18, 2018 · Second, we start a new problem, the maximum flow problem. In some ... then (S, I) satisfies the exchange property (i.e. is a matroid).
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The multiple exchange property for matroid bases is generalized for valuated matroids and M-natural concave set functions. The proof is based on the Fenchel- ...
We provide a new characterization for matroids which is useful for sensitivity analysis and for solving certain max min matroid optimization problems. My ...
Oct 22, 2009 · The main goal of this lecture is to prove the min-max relation from last time regarding the ... the strong basis exchange property of matroids.
Lemma 1 (Strong exchange property) If B1,B2 are bases in a matroid M with B1 = B2, then for any y ∈ B2 \ B1 there is x ∈ B1 \ B2 so that B1 − x + y, B2 − y ...
A minimum weight spanning tree of G must be found with the property that, for i - 1, 2, ..., m, the number of edges with color i belongs to the interval [ii, ui] ...
Apr 27, 1993 · A new exchange property for matroids and its application to max-min problems ... On the min-max solution of some combinatorial problems.