A proof of the Kauffman-Harary conjecture

DOI10.2140/agt.2009.9.2027zbMath1184.57006arXiv0906.1612OpenAlexW3098373442WikidataQ59485436 ScholiaQ59485436MaRDI QIDQ1035315

Thomas W. Mattman, Pablo Solis

Publication date: 2 November 2009

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.1612

zbMATH Keywords

alternating knotFox coloringalternating diagramKauffman-Harary conjecture

Mathematics Subject Classification ID

Related Items (12)

COLORING INVARIANTS OF VIRTUAL KNOTS AND LINKS ⋮ Kauffman–Harary conjecture for alternating virtual knots ⋮ MINIMUM NUMBER OF FOX COLORS FOR SMALL PRIMES ⋮ An improvement of the lower bound for the minimum number of link colorings by quandles ⋮ Dehn coloring and the dimer model for knots ⋮ The delunification process and minimal diagrams ⋮ THE TENEVA GAME ⋮ Colorings beyond Fox: the other linear Alexander quandles ⋮ Orderability of link quandles ⋮ ON THE MAXIMUM NUMBER OF COLORS FOR LINKS ⋮ THE MINIMUM NUMBER OF FOX COLORS AND QUANDLE COCYCLE INVARIANTS ⋮ Positive quandle homology and its applications in knot theory

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• On the Harary-Kauffman Conjecture and Turk's Head Knots
• Jones polynomials and classical conjectures in knot theory. II
• KAUFFMAN–HARARY CONJECTURE HOLDS FOR MONTESINOS KNOTS

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