Proof of the Caccetta-Häggkvist conjecture for digraphs with small independence number. - Patrick Hompe (Discret. Math., 2020)

On Aharoni's rainbow generalization of the Caccetta-Häggkvist conjecture. - Patrick Hompe; Petra Pelikánová; Aneta Pokorná; Sophie Spirkl (Discret. Math., 2021)

Digraphs with All Induced Directed Cycles of the Same Length are not $ vec{ chi}$-Bounded. - Alvaro Carbonero; Patrick Hompe; Benjamin R. Moore; Sophie Spirkl (Electron. J. Comb., 2022)

Concatenating Bipartite Graphs. - Maria Chudnovsky; Patrick Hompe; Alex Scott 001; Paul D. Seymour; Sophie Spirkl (Electron. J. Comb., 2022)

Further Approximations for Aharoni's Rainbow Generalization of the Caccetta-Häggkvist Conjecture. - Patrick Hompe; Sophie Spirkl (Electron. J. Comb., 2022)

A counterexample to a conjecture about triangle-free induced subgraphs of graphs with large chromatic number. - Alvaro Carbonero; Patrick Hompe; Benjamin R. Moore; Sophie Spirkl (J. Comb. Theory B, 2023)

Improved bounds for the triangle case of Aharoni's rainbow generalization of the Caccetta-Häggkvist conjecture. - Patrick Hompe; Zishen Qu; Sophie Spirkl (Discret. Math., 2024)

Aharoni's rainbow cycle conjecture holds up to an additive constant. - Patrick Hompe; Tony Huynh (J. Comb. Theory B, 2025)