Automatic calculation of Alexander polynomials of \((3,k)\)-torus knots

DOI10.1016/S0096-3003(02)00075-9zbMath1023.57012MaRDI QIDQ1856052

Mustafa Bayram, Necmettin Yildirim, Hakan Simsek

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

Alexander polynomialMAPLEtorus knotsAlexander matrixfree derivative

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Software, source code, etc. for problems pertaining to manifolds and cell complexes (57-04)

Related Items (5)

Computer algebra and colored Jones polynomials ⋮ Automatic calculation of the fundamental group of an oriented surface of genus \(n\) with \(k\) boundary surfaces ⋮ The Kauffman brackets for equivalence classes of links ⋮ An oriented state model for the Jones polynomial and its applications alternating links ⋮ A computer program to calculate Alexander polynomial from Braids presentation of the given knot

Uses Software

• Maple

Cites Work

• Seifert circles and knot polynomials
• On the Braid Index of Alternating Links
• DISTINGUISHING MUTANTS BY KNOT POLYNOMIALS
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