A state enumeration of the foil knot

Preprint English OPEN
Ramaharo, Franck; Rakotondrajao, Fanja;
(2017)
  • Subject: Mathematics - Combinatorics | 57M25, 52C30

We split the crossings of the foil knot and enumerate the resulting states with a generating polynomial. Unexpectedly, the number of such states which consist of two components are given by the lazy caterer's sequence. This sequence describes the maximum number of plana... View more
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