• In mathematics, Tait's conjecture states that "Every 3-connected planar cubic graph has a Hamiltonian cycle (along the edges) through all its vertices"...
    5 KB (638 words) - 17:14, 20 September 2023
  • Tait flyping conjecture was proved by Thistlethwaite and William Menasco in 1991. The Tait flyping conjecture implies some more of Tait's conjectures:...
    6 KB (671 words) - 07:53, 3 December 2023
  • Thumbnail for Peter Guthrie Tait
    theory mainly for Tait's conjecture on cubic graphs. He is also one of the namesakes of the Tait–Kneser theorem on osculating circles. Tait was born in Dalkeith...
    17 KB (1,914 words) - 04:17, 12 September 2024
  • Thumbnail for Alternating knot
    doi:10.1215/00127094-2017-0004. S2CID 59023367. Weisstein, Eric W. "Tait's Knot Conjectures". MathWorld. Accessed: May 5, 2013. Kauffman, Louis H. (1987)....
    6 KB (681 words) - 03:53, 29 January 2022
  • Schoenflies conjecture (disproved 1910) Tait's conjecture Von Neumann conjecture Weyl–Berry conjecture Williamson conjecture In mathematics, ideas are supposedly...
    36 KB (1,566 words) - 01:04, 25 October 2024
  • Thumbnail for Cubic graph
    Tait conjectured that every cubic polyhedral graph has a Hamiltonian circuit. William Thomas Tutte provided a counter-example to Tait's conjecture, the...
    15 KB (1,777 words) - 20:46, 11 March 2024
  • Thumbnail for Hamiltonian path
    permutohedron Subhamiltonian graph, a subgraph of a planar Hamiltonian graph Tait's conjecture (now known false) that 3-regular polyhedral graphs are Hamiltonian...
    18 KB (2,030 words) - 19:28, 20 September 2024
  • Thumbnail for Morwen Thistlethwaite
    "Morwen's home page". Oliver Thistlethwaite Weisstein, Eric W. "Tait's Knot Conjectures". MathWorld. Thistlethwaite's 52-move algorithm "2022 Class of...
    6 KB (747 words) - 06:59, 7 July 2024
  • Tait's and Tutte's conjectures, stating that every bipartite cubic polyhedron is Hamiltonian, or, equivalently, that every counterexample to Tait's conjecture...
    11 KB (1,194 words) - 07:50, 18 July 2024
  • the Seifert conjecture, the Pólya conjecture, the conjecture of Hilbert's fourteenth problem, Tait's conjecture, and the Ganea conjecture. In philosophy...
    9 KB (1,188 words) - 22:37, 8 June 2024
  • Thumbnail for Grinberg's theorem
    instance it can prove non-Hamiltonicity of some counterexamples to Tait's conjecture that cubic polyhedral graphs are Hamiltonian. Grinberg's theorem is...
    9 KB (1,161 words) - 18:58, 28 January 2023
  • graph Ramsey's theorem Sperner's lemma Strong coloring Subcoloring Tait's conjecture Total coloring Uniquely colorable graph Path (graph theory) Seven...
    7 KB (663 words) - 02:52, 24 September 2024
  • Tait's conjecture, a 15-crossing amphicheiral knot, was found by Jim Hoste, Morwen Thistlethwaite, and Jeff Weeks in 1998. However, Tait's conjecture...
    8 KB (700 words) - 14:15, 10 July 2024
  • graphs, and Hamiltonian and non-Hamiltonian graphs. He disproved Tait's conjecture, on the Hamiltonicity of polyhedral graphs, by using the construction...
    42 KB (4,642 words) - 06:57, 14 November 2024
  • Thumbnail for Tutte graph
    graph, but is non-hamiltonian. Therefore, it is a counterexample to Tait's conjecture that every 3-regular polyhedron has a Hamiltonian cycle. Published...
    5 KB (697 words) - 20:43, 5 July 2021
  • Thumbnail for Knot theory
    knots in the aether led to Peter Guthrie Tait's creation of the first knot tables for complete classification. Tait, in 1885, published a table of knots with...
    49 KB (6,295 words) - 07:50, 15 October 2024
  • Thumbnail for Herschel graph
    is much larger than the Herschel graph. A refinement of Tait's conjecture, Barnette's conjecture that every bipartite 3-regular polyhedral graph is Hamiltonian...
    14 KB (1,617 words) - 07:10, 6 December 2023
  • Thumbnail for Borromean rings
    that is simultaneously alternating and algebraic. It follows from the Tait conjectures that the crossing number of the Borromean rings (the fewest crossings...
    43 KB (4,472 words) - 11:29, 20 October 2024
  • Thumbnail for Ribbon knot
    the slice-ribbon conjecture, asks if the converse is true: is every (smoothly) slice knot ribbon? Lisca (2007) showed that the conjecture is true for knots...
    5 KB (594 words) - 22:45, 6 November 2024
  • Thumbnail for Fermat's Last Theorem
    In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b,...
    103 KB (11,486 words) - 13:37, 19 November 2024
  • Thumbnail for Flype
    2013-12-15. Tait used the term to mean, "a change of infinite complementary region"). Weisstein, Eric W. "Flype". MathWorld. Weisstein, Eric W. "Tait's Knot...
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  • would give the hyperbolic volume of the knot complement. (See Volume conjecture.) In 2000 Mikhail Khovanov constructed a certain chain complex for knots...
    17 KB (2,339 words) - 23:46, 13 August 2024
  • Thumbnail for Whitehead link
    Whitehead, who spent much of the 1930s looking for a proof of the Poincaré conjecture. In 1934, he used the link as part of his construction of the now-named...
    6 KB (651 words) - 18:56, 26 December 2021
  • Thumbnail for Hyperbolic link
    sphere Complement Double torus Fibered Knot List of knots and links Ribbon Slice Sum Tait conjectures Twist Wild Writhe Surgery theory Category Commons...
    2 KB (222 words) - 13:00, 27 July 2024
  • Thumbnail for Polyhedral graph
    into smaller convex polygons may be found using the Tutte embedding. Tait conjectured that every cubic polyhedral graph (that is, a polyhedral graph in which...
    7 KB (815 words) - 01:21, 17 October 2024
  • Thumbnail for Knot complement
    sphere Complement Double torus Fibered Knot List of knots and links Ribbon Slice Sum Tait conjectures Twist Wild Writhe Surgery theory Category Commons...
    3 KB (275 words) - 00:23, 24 October 2023
  • Thumbnail for Conway knot
    sphere Complement Double torus Fibered Knot List of knots and links Ribbon Slice Sum Tait conjectures Twist Wild Writhe Surgery theory Category Commons...
    6 KB (332 words) - 18:05, 4 November 2024
  • Thumbnail for Knot polynomial
    sphere Complement Double torus Fibered Knot List of knots and links Ribbon Slice Sum Tait conjectures Twist Wild Writhe Surgery theory Category Commons...
    5 KB (416 words) - 23:48, 22 June 2024
  • sphere Complement Double torus Fibered Knot List of knots and links Ribbon Slice Sum Tait conjectures Twist Wild Writhe Surgery theory Category Commons...
    3 KB (389 words) - 14:32, 13 July 2022
  • Thumbnail for Seifert surface
    sphere Complement Double torus Fibered Knot List of knots and links Ribbon Slice Sum Tait conjectures Twist Wild Writhe Surgery theory Category Commons...
    10 KB (1,358 words) - 07:56, 18 July 2024