Folding of Trefoil Knot and its Graph
M. El-Ghoul, A. I. Elrokh & M. M.A. Shamiri
Journal of Mathematics and Statistics, Volume 2, Issue 2, pp. 378–385 · doi.org/10.3844/jmssp.2006.378.385
Abstract
In this study, we introduce the effect of the folding, conditional folding, retraction and conditional retraction on trefoil knot and its graph. We introduce the sheeted trefoil knot and the folding and retraction of this type and present the limit of foldings. We study how to obtain the types of link graph by adjacency matrix for any number of vertices and how to calculate Jones polynomial for this by its connection with Tutte polynomial. The link graph which represents a trefoil knot applied as an example.
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El-Ghoul, M., Elrokh, A. I. & Shamiri, M. M. (2006). Folding of Trefoil Knot and its Graph. Journal of Mathematics and Statistics, 2(2), 378–385. https://doi.org/10.3844/jmssp.2006.378.385
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