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- Title
A REMARK ON THE DETERMINANT OF QUASI-ALTERNATING LINKS.
- Authors
QAZAQZEH, K.; QUBLAN, B.; JARADAT, A.
- Abstract
We show that the crossing number of any link that is known to be quasi-alternating is less than or equal to its determinant. Based on this, we conjecture that the crossing number of any quasi-alternating link is less than or equal to its determinant. Thus if this conjecture is true, then it gives a new property of quasi-alternating links and easy obstruction to a link being quasi-alternating.
- Subjects
LINK theory; DETERMINANTS (Mathematics); CROSSING numbers (Graph theory); OBSTRUCTION theory; MATHEMATICAL proofs
- Publication
Journal of Knot Theory & Its Ramifications, 2013, Vol 22, Issue 6, p-1
- ISSN
0218-2165
- Publication type
Article
- DOI
10.1142/S0218216513500314