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arxiv: 1601.06031 · v1 · pith:GM46QTFGnew · submitted 2016-01-22 · 🧮 math.CO

Flip-connectivity of triangulations of the product of a tetrahedron and simplex

classification 🧮 math.CO
keywords simplicestriangulationsproducttetrahedroncaseconnectedextendflip
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A flip is a minimal move between two triangulations of a polytope. An open question is whether any two triangulations of the product of two simplices can be connected through a series of flips. This was proven in the case where one of the simplices is a triangle by Santos in 2005. In this paper we extend this to when one of the simplices is a tetrahedron.

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