Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:field |
gptkb:mathematics
knot theory |
| gptkbp:firstConjecture |
Reduced alternating diagrams have minimal crossing number
|
| gptkbp:formedBy |
19th century
|
| https://www.w3.org/2000/01/rdf-schema#label |
Tait conjectures
|
| gptkbp:influenced |
gptkb:Jones_polynomial
knot invariants |
| gptkbp:namedAfter |
gptkb:Peter_Guthrie_Tait
|
| gptkbp:numberOfConjectures |
three
|
| gptkbp:provenBy |
gptkb:Kauffman
gptkb:Menasco gptkb:Murasugi gptkb:Thistlethwaite 1980s |
| gptkbp:relatedTo |
alternating knots
|
| gptkbp:secondConjecture |
Any two reduced alternating diagrams of the same knot have the same writhe
|
| gptkbp:status |
proven
|
| gptkbp:thirdConjecture |
Every reduced alternating diagram of a prime knot is flype equivalent
|
| gptkbp:bfsParent |
gptkb:Peter_Guthrie_Tait
|
| gptkbp:bfsLayer |
5
|