Author

Jørgen Bang-Jensen

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Preprint Oct 2026

An asymptotic bound for the Bermond--Thomassen Conjecture

The Bermond--Thomassen Conjecture asserts that every digraph with minimum out-degree at least $2k-1$ contains $k$ disjoint directed cycles; it remains open in general. We asymptotically resolve it: there exist an absolute constant $K$ and a function $g(k)=o(k)$, independent of $n$, such that every $n$-vertex finite sim...

Jørgen Bang-Jensen, Guang-Hui Wang, Yun Wang · 0 citations

Preprint Sep 2026

Acyclic orientations of mixed graphs

A mixed graph $M=(V,E\cup A)$ is acyclic if its directed part $(V,A)$ is an acyclic digraph. In this note we study the so-called orientation completion problem for the class of acyclic mixed graphs. That is, given an acyclic mixed graph $M$ and a property ${\cal P}$; can we orient the edges of $M$ so that the resulting...

Jørgen Bang-Jensen, Anders Yeo · 0 citations