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OALib Journal期刊
ISSN: 2333-9721
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On the Alexander polynominals of alternating two-component links

DOI: 10.1155/s0161171279000211

Keywords: alternating link projection , Alexander matrix and polynomial , adjacency matrix , rooted tree.

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Abstract:

Let L be an alternating two-component link with Alexander polynomial ”(x,y). Then the polynomials (1 ¢ ’x) ”(x,y) and (1 ¢ ’y) ”(x,y) are alternating. That is, (1 ¢ ’y) ”(x,y) can be written as ¢ ‘i,jcijxiyj in such a way that ( ¢ ’1)i+jcij ¢ ‰ ¥0.

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