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arxiv: 1808.04005 · v1 · pith:F5OZLDCAnew · submitted 2018-08-12 · 🧮 math.CO

On rigidity of unit-bar frameworks

classification 🧮 math.CO
keywords frameworksunit-barinfinitesimallyrigidanswersbipartiteconstructexistence
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We show the existence of infinitesimally rigid bipartite unit-bar frameworks in $\mathbb{R}^d$. We also construct unit-bar frameworks with girth up to 12 that are infinitesimally rigid in the plane. This answers problems proposed by Maehara.

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