Abstract
We define braid presentation of edge-oriented spatial graphs as a natural generalization of braid presentation of oriented links. We show that every spatial graph has a braid presentation. For an oriented link, it is known that the braid index is equal to the minimal number of Seifert circles. We show that an analogy does nothold for spatial graphs.
| Original language | English |
|---|---|
| Pages (from-to) | 509-522 |
| Number of pages | 14 |
| Journal | Tokyo Journal of Mathematics |
| Volume | 33 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2010 Jan 1 |
Keywords
- Braid presentation
- Spatial graph
ASJC Scopus subject areas
- Mathematics(all)
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Cite this
Kanno, K., & Taniyama, K. (2010). Braid presentation of spatial graphs. Tokyo Journal of Mathematics, 33(2), 509-522. https://doi.org/10.3836/tjm/1296483485