Abstract
The Kauffman bracket approach is used to give estimates on the size of the determinant (and this way also on the coefficients of the Jones and Alexander polynomial) of a link of given crossing number, or equivalently on the number of spanning trees of planar graphs with given number of edges. Properties of the knots and links with maximal determinant for given crossing number are investigated.
Citation
Alexander STOIMENOW. "Maximal Determinant Knots." Tokyo J. Math. 30 (1) 73 - 97, June 2007. https://doi.org/10.3836/tjm/1184963648
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