The number of oriented rational links with a given deficiency number

نویسندگان

چکیده

Let [Formula: see text] be the set of un-oriented and rational links with crossing number text], a precise formula for was obtained by Ernst Sumners in 1987. In this paper, we study enumeration problem oriented links. let ([Formula: text]) deficiency text]. derive formulas any given show that where is text]th convolution convolved Fibonacci sequences.

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ژورنال

عنوان ژورنال: Journal of Knot Theory and Its Ramifications

سال: 2021

ISSN: ['1793-6527', '0218-2165']

DOI: https://doi.org/10.1142/s0218216521500656