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The Khovanov complex and minimal knot diagrams

โœ Scribed by V. O. Manturov

Book ID
111454040
Publisher
SP MAIK Nauka/Interperiodica
Year
2006
Tongue
English
Weight
170 KB
Volume
73
Category
Article
ISSN
1064-5624

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We show that two classical theorems in graph theory and a simple result concerning the interlace polynomial imply that if K is a reduced alternating link diagram with n โ‰ฅ 2 crossings, then the determinant of K is at least n. This gives a particularly simple proof of the fact that reduced alternating