2 papers
math.CO2026
Cycle tilings and -factors in directed graphs
Theodore Molla, Andrew Treglown
We prove several results concerning cycle tilings and -factors in digraphs. We provide a minimum semi-degree condition for forcing a digraph to contain a given spanning collecti…
math.CO2025
Powers of Hamilton cycles in oriented and directed graphs
Louis DeBiasio, Jie Han, Allan Lo +3
The Pósa--Seymour conjecture determines the minimum degree threshold for forcing the th power of a Hamilton cycle in a graph. After numerous partial results, Komlós, Sárközy…