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 |
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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 |
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Keywords
- Braid presentation
- Spatial graph
ASJC Scopus subject areas
- Mathematics(all)
Cite this
Braid presentation of spatial graphs. / Kanno, Ken; Taniyama, Kouki.
In: Tokyo Journal of Mathematics, Vol. 33, No. 2, 01.01.2010, p. 509-522.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Braid presentation of spatial graphs
AU - Kanno, Ken
AU - Taniyama, Kouki
PY - 2010/1/1
Y1 - 2010/1/1
N2 - 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.
AB - 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.
KW - Braid presentation
KW - Spatial graph
UR - http://www.scopus.com/inward/record.url?scp=84866935845&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84866935845&partnerID=8YFLogxK
U2 - 10.3836/tjm/1296483485
DO - 10.3836/tjm/1296483485
M3 - Article
AN - SCOPUS:84866935845
VL - 33
SP - 509
EP - 522
JO - Tokyo Journal of Mathematics
JF - Tokyo Journal of Mathematics
SN - 0387-3870
IS - 2
ER -