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Paper detail

On the Classification of Motions of Paradoxically Movable Graphs

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.

preprint2020arXivOpen access
Georg GraseggerJan LegerskýJosef Schicho
math.COmath.MGmath.AGRobotics
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Georg GraseggerJan LegerskýJosef Schicho

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