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arxiv: 1205.4798 · v1 · pith:AQEZH7OYnew · submitted 2012-05-22 · 🧮 math.GT · math.CO

The Y-triangle move does not preserve Intrinsic Knottedness

classification 🧮 math.GT math.CO
keywords y-trianglegraphintrinsicintrinsicallyknottedknottednessmovepreserve
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We answer the question "Does the Y-triangle move preserve intrinsic knottedness?" in the negative by giving an example of a graph that is obtained from the intrinsically knotted graph K_7 by triangle-Y and Y-triangle moves but is not intrinsically knotted.

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