Algorithmic enumeration of genus-one knot and link diagrams up to 8 crossings via cellular 4-regular torus maps encoded by permutation pairs, producing over 33,000 types plus structural facts.
Kuperberg (1999): What is a virtual link? Algebr
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Exhaustive Generation of Genus-One Knot and Link Diagrams via Maps on the Torus
Algorithmic enumeration of genus-one knot and link diagrams up to 8 crossings via cellular 4-regular torus maps encoded by permutation pairs, producing over 33,000 types plus structural facts.