Spatial graph as connected sum of a planar graph and a braid

Valeriy G. Bardakov; Akio Kawauchi

doi:10.1142/S0218216521500772

Spatial graph as connected sum of a planar graph and a braid

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

In this paper, we show that every finite spatial graph is a connected sum of a planar graph, which is a forest, and a tangle. As a consequence, we get that any finite spatial graph is a connected sum of a planar graph and a braid. Using these decompositions it is not difficult to find a set of generators and defining relations for the fundamental group of compliment of a spatial graph in 3-space 3.

Язык оригинала	английский
Номер статьи	2150077
Журнал	Journal of Knot Theory and its Ramifications
Том	30
Номер выпуска	11
DOI	https://doi.org/10.1142/S0218216521500772
Состояние	Опубликовано - 1 окт. 2021

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Spatial graph as connected sum of a planar graph and a braid

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