Abstract
A mathematical knot is a simple closed curve in 3-space. Following work of Buck, Flapan, and others, we model circular DNA as a knot to classify the possible knotted or linked products which can arise as a result of site-specific recombination on DNA substrates of the topological form \(T(2,n) \# C(2,r)\). We show that, given some reasonable biological assumptions, all of the possible products are contained in one of two families.
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