#
Dowker notation
^{en}

In the mathematical field of knot theory, the Dowker notation, also called the Dowker–Thistlethwaite notation or code, for a knot is a sequence of even integers. The notation is named after Clifford Hugh Dowker and Morwen Thistlethwaite, who refined a notation originally due to Peter Guthrie Tait. To generate the Dowker notation, traverse the knot using an arbitrary starting point and direction. Label each of the n crossings with the numbers 1, ..., 2n in order of traversal, with the following modification: if the label is an even number and the strand followed crosses over at the crossing, then change the sign on the label to be a negative. When finished, each crossing will be labelled a pair of integers, one even and one odd. The Dowker notation is the sequence of even integer labels associated with the labels 1, 3, ..., 2n − 1 in turn. For example, a knot diagram may have crossings labelled with the pairs and. The Dowker notation for this labelling is the sequence: 6 −12 2 8 −4 −10. [ - ]

# Freebase Commons Metaweb System Types /type

- -

- Dowker notation

- /wikipedia/en/Dowker-Thistlethwaite_notation
- /en/dowker_notation
- /wikipedia/ja_id/1837003
- /wikipedia/ja/$30C9$30A6$30AB$30FC$306E$8868$793A$6CD5
- /wikipedia/en_title/Dowker_notation
- /wikipedia/en/Dowker$2013Thistlethwaite_notation
- /wikipedia/en_id/5708669
- /wikipedia/en/Dowker_notation
- /wikipedia/ja_title/$30C9$30A6$30AB$30FC$306E$8868$793A$6CD5

- -