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
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
Alternating knot (redirect from Tait's Knot Conjectures)
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
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
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
Morwen Thistlethwaite (section Tait conjectures)
"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
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
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
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
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
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
Ribbon knot (redirect from Slice-ribbon conjecture)
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
Fermat's Last Theorem (redirect from Fermat conjecture)
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
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...
2 KB (160 words) - 05:14, 8 April 2023
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
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
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
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
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
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
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
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