Mohar's pseudo-triangulation cross-cap drawing conjecture
Let be a positive integer, and let be the non-orientable surface of genus . A loopless pseudo-triangulation of is a cellularly embedded loopless multigraph in which every face has degree three. A perfect cross-cap drawing has cross-caps and every edge intersects each cross-cap at most once. Mohar's pseudo-triangulation conjecture. Every loopless pseudo-triangulation of admits a perfect cross-cap drawing. The paper explicitly states that this stronger conjecture is disproved by Schaefer and Štefankovič, so it is not an open problem.
References
Primary source
Niloufar Fuladi, Alfredo Hubard and Arnaud de Mesmay, “Degenerate crossing number and signed reversal distance”, arXiv:2308.10666 (2025).
Progress summary
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.