Reducing the rank of a matroid

We consider the <i>rank reduction problem</i> for matroids: Given a matroid $M$ and an integer $k$, find a minimum size subset of elements of $M$ whose removal reduces the rank of $M$ by at least $k$. When $M$ is a graphical matroid this problem is the minimum $k$-cut problem, which admi...

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Bibliographic Details
Main Authors: Gwenaël Joret, Adrian Vetta
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2015-09-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/2135/pdf