Restricted antidirected subdivision conjecture for oriented graphs
Restricted antidirected subdivision conjecture for oriented graphs
Let be an oriented graph, and let denote its minimum degree. For positive integers and , write for the consistently oriented complete bipartite graph, and call an antidirected subdivision of a graph restricted when all its branch vertices are sources.
Restricted antidirected subdivision conjecture. Every oriented graph with
contains a copy of or an induced restricted antidirected subdivision of .
This conjecture proposes a more precise version of the preceding minimum-degree result for oriented graphs. The supplied text does not indicate whether it has been resolved.
Sources & referencesView supporting material
Primary source
Arnab Char, Ken-ichi Kawarabayashi and Lucas Picasarri-Arrieta, “Edge-colouring and orientations: applications to degree- and χ-boundedness”, arXiv:2506.23054 (2026).
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