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arxiv: 1410.1971 · v1 · pith:SRSSXFB2new · submitted 2014-10-08 · 🧮 math.GT

Intrinsic 3-linkedness is Not Preserved by Ynabla moves

classification 🧮 math.GT
keywords nablatextintrinsicintrinsicallylinkedlinkednessmovespreserved
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This paper introduces a number of new intrinsically 3-linked graphs through five new constructions. We then prove that intrinsic 3-linkedness is not preserved by $\text{Y}\nabla$ moves. We will see that the graph $M$, which is obtained through a $\text{Y}\nabla$ move on $(PG)^*_*(PG)$, is not intrinsically 3-linked.

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