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arxiv: 1703.07097 · v2 · pith:PUYZTMWYnew · submitted 2017-03-21 · 🧮 math.CO · math.AT

Connected sums of Z-knotted triangulations

classification 🧮 math.CO math.AT
keywords knottedtriangulationsconnectedembeddedcalledcasesconsidercontains
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An embedded graph is called $z$-knotted if it contains the unique zigzag (up to reversing). We consider $z$-knotted triangulations, i.e. $z$-knotted embedded graphs whose faces are triangles, and describe all cases when the connected sum of two $z$-knotted triangulations is $z$-knotted.

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