Kauffman's polynomial and alternating links
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Publication:1117502
DOI10.1016/0040-9383(88)90012-2zbMath0667.57002OpenAlexW2071743839WikidataQ127351995 ScholiaQ127351995MaRDI QIDQ1117502
Publication date: 1988
Published in: Topology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0040-9383(88)90012-2
Tutte polynomialKauffman polynomialnon-split alternating linkwrithe of an amphicheiral alternating knot
Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15)
Related Items (31)
ON THE NULLIFICATION WRITHE, THE SIGNATURE AND THE CHIRALITY OF ALTERNATING LINKS ⋮ Knot Theory ⋮ Knots and Graphs: Two Centuries of Interaction ⋮ SOME INEQUALITIES BETWEEN KNOT INVARIANTS ⋮ On Invariants of Graphs with Applications to Knot Theory ⋮ On the Kauffman polynomial of an adequate link ⋮ The Kauffman polynomial of alternating links ⋮ Knotted fields and explicit fibrations for lemniscate knots ⋮ Alternating knots with unknotting number one ⋮ A relation between the LG polynomial and the Kauffman polynomial ⋮ Hyperbolicity of the canonical genus two knots ⋮ Examples relating to the crossing number, writhe, and maximal bridge length of knot diagrams ⋮ Topological quantum computation is hyperbolic ⋮ A note on knot fertility. II ⋮ Jones diameter and crossing number of knots ⋮ The Tait conjecture in #g(S1 × S2) ⋮ Plane graphs and link invariants ⋮ Coloured Tutte polynomials and Kauffman brackets for graphs of bounded tree width ⋮ On the unknotting number of minimal diagrams ⋮ Generating links that are both quasi-alternating and almost alternating ⋮ On knot polynomials of annular surfaces and their boundary links ⋮ INTRODUCTION TO GRAPH-LINK THEORY ⋮ The first 1,701,936 knots ⋮ The Linear Growth in the Lengths of a Family of Thick Knots ⋮ Quasi-alternating links and Kauffman polynomials ⋮ On the arc index of an adequate link ⋮ Graph-links ⋮ Tait's flyping conjecture for 4-regular graphs ⋮ Computer evaluation of Kauffman polynomials by using Gauss codes, with a skein-template algorithm ⋮ Nahm sums, stability and the colored Jones polynomial ⋮ Lernaean knots and band surgery
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