Jaeger's strong embedding conjecture for 2-connected graphs

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Let Γ\Gamma be a 22-connected graph. A strong embedding is an embedding of a graph in a surface in which every facial walk is simple. Jaeger's strong embedding conjecture. Every 22-connected graph Γ\Gamma has a strong embedding in some orientable surface. The conjecture has been verified for 22-connected projective-planar cubic graphs, but remains open in general.

References

Primary source

Bart Litjens, “On dihedral flows in embedded graphs”, arXiv:1709.06469 (2018).

Additional references

2 papers in this index state this conjecture (2009–2017). The statement above is taken from the most recent of them; the others are arXiv:0908.1933.

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