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arXiv · 2003.11416

On the Classification of Motions of Paradoxically Movable Graphs

Georg Grasegger·Jan Legerský·Josef Schicho
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Abstract

Edge lengths of a graph are called flexible if there exist infinitely many non-congruent realizations of the graph in the plane satisfying these edge lengths. It has been shown recently that a graph has flexible edge lengths if and only if the graph has a special type of edge coloring called NAC-coloring. We address the question how to determine all possible proper flexible edge lengths from the set of all NAC-colorings of a graph. We do so using restrictions to 4-cycle subgraphs.

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Georg Grasegger, Jan Legerský, Josef Schicho. 2020-03-25. On the Classification of Motions of Paradoxically Movable Graphs. https://doi.org/10.20382/jocg.v11i1a22

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