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Date: 12-6-2021
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Date: 17-5-2021
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A link is said to be splittable if a plane can be embedded in
such that the plane separates one or more components of
from other components of
and the plane is disjoint from
. Otherwise,
is said to be nonsplittable.
The numbers of nonsplittable links (either prime or composite) with , 1, ... crossings are 1, 0, 1, 1, 3, 4, 15, ... (OEIS A086826).
REFERENCES:
Finch, S. "Knots, Links, and Tangles." https://algo.inria.fr/bsolve/.
Sloane, N. J. A. Sequence A086826 in "The On-Line Encyclopedia of Integer Sequences."
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