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On the Alexander polynominals of alternating two-component links

Authors :
Mark E. Kidwell
Source :
International Journal of Mathematics and Mathematical Sciences, Vol 2, Iss 2, Pp 229-237 (1979)
Publication Year :
1979
Publisher :
Hindawi Limited, 1979.

Abstract

Let L be an alternating two-component link with Alexander polynomial Δ(x,y). Then the polynomials (1−x)Δ(x,y) and (1−y)Δ(x,y) are alternating. That is, (1−y)Δ(x,y) can be written as ∑i,jcijxiyj in such a way that (−1)i+jcij≥0.

Details

Language :
English
ISSN :
01611712 and 16870425
Volume :
2
Issue :
2
Database :
Directory of Open Access Journals
Journal :
International Journal of Mathematics and Mathematical Sciences
Publication Type :
Academic Journal
Accession number :
edsdoj.bdd89d0c22da4786804413004d36ed30
Document Type :
article
Full Text :
https://doi.org/10.1155/S0161171279000211