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- W2950791352 abstract "We study the class L of link-types that admit a K4-minor-free diagram, i.e., they can be projected on the plane so that the resulting graph does not contain any subdivision of K4. We prove that L is the closure of a subclass of torus links under the operation of connected sum. Using this structural result, we enumerate L and subclasses of it, with respect to the minimum number of crossings or edges in a projection of L' in L. Further, we obtain counting formulas and asymptotic estimates for the connected K4-minor-free link-diagrams, minimal K4-minor-free link-diagrams, and K4-minor-free diagrams of the unknot." @default.
- W2950791352 created "2019-06-27" @default.
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- W2950791352 date "2018-06-20" @default.
- W2950791352 modified "2023-09-25" @default.
- W2950791352 title "Structure and enumeration of K4-minor-free links and link-diagrams" @default.
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