The linking number of an oriented two-component link is an invariant indicating how intertwined the two components are. Tuler proved that the linking number of a two-component rational p/q-link is ∑|p|/2ₖ₌₁ (-1)(2k-1) q/p. In this paper, we provide a simple proof the above result, and introduce the numerical algorithm to find linking numbers of rational links. Using this result, we find linking numbers between any two components in a Montesinos link.
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Kim et al. (2024) studied this question.
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