Braid Presentation of Spatial Graphs

Ken KANNO; Kouki TANIYAMA

doi:10.3836/tjm/1296483485

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Home > Journals > Tokyo J. Math. > Volume 33 > Issue 2 > Article

December 2010 Braid Presentation of Spatial Graphs

Ken KANNO, Kouki TANIYAMA

Tokyo J. Math. 33(2): 509-522 (December 2010). DOI: 10.3836/tjm/1296483485

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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 not hold for spatial graphs.

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Ken KANNO. Kouki TANIYAMA. "Braid Presentation of Spatial Graphs." Tokyo J. Math. 33 (2) 509 - 522, December 2010. https://doi.org/10.3836/tjm/1296483485