Open Access
June 2007 Maximal Determinant Knots
Alexander STOIMENOW
Tokyo J. Math. 30(1): 73-97 (June 2007). DOI: 10.3836/tjm/1184963648

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

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Alexander STOIMENOW. "Maximal Determinant Knots." Tokyo J. Math. 30 (1) 73 - 97, June 2007. https://doi.org/10.3836/tjm/1184963648

Information

Published: June 2007
First available in Project Euclid: 20 July 2007

zbMATH: 1131.57011
MathSciNet: MR2328056
Digital Object Identifier: 10.3836/tjm/1184963648

Subjects:
Primary: 57M25
Secondary: 05A20 , 57M12

Rights: Copyright © 2007 Publication Committee for the Tokyo Journal of Mathematics

Vol.30 • No. 1 • June 2007
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