On the inversion number of oriented graphs

Let $D$ be an oriented graph. The inversion of a set $X$ of vertices in $D$ consists in reversing the direction of all arcs with both ends in $X$. The inversion number of $D$, denoted by ${\rm inv}(D)$, is the minimum number of inversions needed to make $D$ acyclic. Denoting by $\tau(D)$, $\tau'...

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Bibliographic Details
Main Authors: Jørgen Bang-Jensen, Jonas Costa Ferreira da Silva, Frédéric Havet
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2022-12-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/7474/pdf