activity
20232026
most citedDiameter of the inversion graph

1 citations · 1 across the 4 of their papers we have counts for

collaborators

7 papers

math.CO2026

On the -inversion diameter of oriented graphs

Frédéric Havet, Clément Rambaud, Caroline Silva

In an oriented graph , the {\it inversion} of a subset of vertices consists in reversing the orientation of all arcs with both endvertices in . The {\it -…

math.CO2025

Making an oriented graph acyclic using inversions of bounded or prescribed size

Jørgen Bang-Jensen, Frédéric Havet, Florian Hörsch +3

Given an oriented graph , the inversion of a subset of vertices consists in reversing the orientation of all arcs with both endpoints in . When the subset is of size…

math.CO2024

Blow-ups and extensions of trees in tournaments

Pierre Aboulker, Frédéric Havet, William Lochet +3

A class of acyclic digraphs is linearly unavoidable if there exists a constant such that every digraph is contained in all tournaments of order…

math.CO20241 cited

Diameter of the inversion graph

Frédéric Havet, Florian Hörsch, Clément Rambaud

In an oriented graph , the inversion of a subset of vertices consists in reversing the orientation of all arcs with both endvertices in . The inversion graph of a l…

math.CO2024

Minimum acyclic number and maximum dichromatic number of oriented triangle-free graphs of a given order

Pierre Aboulker, Frédéric Havet, François Pirot +1

Let be a digraph. Its acyclic number is the maximum order of an acyclic induced subdigraph and its dichromatic number is the least integer such that $…

math.CO2024

The 3-dicritical semi-complete digraphs

Frédéric Havet, Florian Hörsch, Lucas Picasarri-Arrieta

A digraph is -dicritical if it cannot be vertex-partitioned into two sets inducing acyclic digraphs, but each of its proper subdigraphs can. We give a human-readable proof that…