Affiliation:
1. Department of Mathematics, Osaka City University, Sugimoto, Sumiyoshi-ku Osaka 558-8585, Japan
Abstract
We give an upper bound for the dealternating number of a closed 3-braid. As applications, we determine the dealternating numbers, the alternation numbers and the Turaev genera of some closed positive 3-braids. We also show that there exist infinitely many positive knots with any dealternating number (or any alternation number) and any braid index.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
20 articles.
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