Abstract
For a given oriented spherical closed curve with $n$ transversal double points, we assign a cyclic word of length $2n$ on two letters $L$ standing left and $R$ standing right by reading the crossing sign so that each crossing point is read once $L$ and once $R$. The LR number of the curve is the number of appearance of subwords $LR$ in the cyclic word. We completely determine oriented spherical closed curves whose LR numbers are less than or equal to three.
Citation
Kuniyuki TAKAOKA. "LR Number of Spherical Closed Curves." Tokyo J. Math. 38 (2) 491 - 503, December 2015. https://doi.org/10.3836/tjm/1452806052
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