A generating polynomial for the two-bridge knot with Conway's notation C(n,r)

Franck Ramaharo (1)

1 Université d'Antananarivo

We construct an integer polynomial whose coefficients enumerate the Kauffman states of the two-bridge knot with Conway's notation C(n,r).

Mots clés: generating polynomial; shadow diagram; Kauffman state

Domaines: Combinatoire [math.CO]; Topologie géométrique [math.GT]

Franck Ramaharo. A generating polynomial for the two-bridge knot with Conway's notation C(n,r). 2019. ⟨hal-02050053⟩