Minimal grid diagrams of 11 crossing prime alternating knots

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The arc index of a knot is the minimal number of arcs in all arc presentations of the knot. An arc presentation of a knot can be shown in the form of a grid diagram which is a closed plane curve consisting of finitely many horizontal line segments and the same number of vertical line segments. The arc index of an alternating knot is its minimal crossing number plus two. In this paper, we give a list of minimal grid diagrams of the 11 crossing prime alternating knots obtained from arc presentations with 13 arcs.
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Issue Date
2020-10
Language
English
Article Type
Article
Citation

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.29, no.11, pp.2050076

ISSN
0218-2165
DOI
10.1142/S0218216520500765
URI
http://hdl.handle.net/10203/280520
Appears in Collection
MA-Journal Papers(저널논문)
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