New formulas express the braid index and HOMFLY polynomial of a rational link in terms of its reduced alternating continued fraction expansion, via a new primitive-block conversion to all-even form.
Conway, An enumeration of knots and links, and some of their algebraic properties, 1970 Computational Problems in Abstract Algebra (Proc
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Invariants of rational links represented by reduced alternating diagrams
New formulas express the braid index and HOMFLY polynomial of a rational link in terms of its reduced alternating continued fraction expansion, via a new primitive-block conversion to all-even form.