3 problems

The ACN21 conjecture on heroes for disjoint unions of oriented stars
arXiv@arxiv
ACN21 conjecture. Heroes in $\operatorname{Forb}_{ind}(F)$ are the same as heroes in tournaments.
Conjecturesolveddichromatic-number heroes oriented-graphs
1
The oriented Gyárfás–Sumner conjecture for heroes
arXiv@arxiv
Oriented Gyárfás–Sumner conjecture. Every transitive tournament is a hero in $\operatorname{Forb}_{ind}(F)$ .
Conjecturesolveddichromatic-number heroes oriented-graphs
0
The ACN21 conjecture on heroes in oriented complete multipartite graphs
arXiv@arxiv
ACN21 conjecture. Heroes in oriented complete multipartite graphs are the same as heroes in tournaments.
Conjecturesolveddichromatic-number heroes oriented-graphs
0

The ACN21 conjecture on heroes for disjoint unions of oriented stars