Tutte and Jones Polynomial of Link Families
Slavik Jablan, Ljiljana Radovic, Radmila Sazdanovic
TL;DR
This paper presents general formulas for computing Tutte and Jones polynomials for families of knots and links expressed in Conway notation, aiding in the analysis of their topological properties.
Contribution
It introduces new general formulas for Tutte and Jones polynomials applicable to entire families of knots and links in Conway notation.
Findings
Derived formulas simplify polynomial calculations for link families.
Facilitated analysis of knot and link invariants.
Enhanced understanding of polynomial relationships in knot theory.
Abstract
This article contains general formulas for Tutte and Jones polynomial for families of knots and links given in Conway notation.
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Taxonomy
TopicsGeometric and Algebraic Topology · semigroups and automata theory · Advanced Combinatorial Mathematics