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crossing sequence
Crossing sequences ★★
Author(s): Archdeacon; Bonnington; Siran
Conjecture Let
be a sequence of nonnegative integers which strictly decreases until
.
![$ (a_0,a_1,a_2,\ldots,0) $](/files/tex/57042c41a7ae61ba126c8f9447c599250d58a490.png)
![$ 0 $](/files/tex/1d8c59cb34a2a35471b98d11ba99311b971a3879.png)
Then there exists a graph that be drawn on a surface with orientable (nonorientable, resp.) genus with
crossings, but not with less crossings.
Keywords: crossing number; crossing sequence
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