Braid presentation of spatial graphs

Ken Kanno; Kouki Taniyama

doi:10.3836/tjm/1296483485

Braid presentation of spatial graphs

Ken Kanno, Kouki Taniyama

Research output: Contribution to journal › Article

4 Citations (Scopus)

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	https://doi.org/10.3836/tjm/1296483485
Publication status	Published - 2010 Jan 1

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Keywords

Braid presentation
Spatial graph

ASJC Scopus subject areas

Mathematics(all)

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

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Access to Document

10.3836/tjm/1296483485