The hypergraph 1-2-3 Conjecture
Let be a hypergraph whose edges have orders between and , with no edge consisting of twins. A weighting induces vertex weights
Hypergraph 1-2-3 Conjecture. There is such a weighting for which the induced vertex weights properly color .
The conjecture proposes that the bound proved for linear hypergraphs extends to all hypergraphs under the stated exclusion of edges consisting of twins. The source gives no resolution status.
References
Primary source
Maciej Kalkowski, Michał Karoński and Florian Pfender, “The 1-2-3 Conjecture for Hypergraphs”, arXiv:1308.0611 (2016).
Progress summary
Never refreshed
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
No solutions have been posted yet.