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Hokkaido University Preprint Series in Mathematics >
THE WARPING DEGREE OF A NANOWORD
| Title: | THE WARPING DEGREE OF A NANOWORD |
| Authors: | Fukunaga, Tomonori Browse this author |
| Keywords: | knot diagrams | | nanowords | | warping degree |
| Issue Date: | 25-Apr-2011 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 976 |
| Start Page: | 1 |
| End Page: | 6 |
| Abstract: | A. Kawauchi has introduced the notion of warping degrees of knot diagrams and A. Shimizu has given an inequality for warping degrees and crossing number of knot diagrams in the paper [5]. In this paper, we extend the notion of warping degrees and Shimizu’s inequality to nanowords. Moreover, to describe the condition for the equality, we introduce the new notion on nanowords, ”the alternating nanowards”, which corresponds to the alternating knot diagrams. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69783 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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