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Gaiane Panina, Alena Zhukova (2011)
Open Mathematics
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It is known that cyclic configurations of a planar polygonal linkage are critical points of the signed area function. In the paper we give an explicit formula of the Morse index for the signed area of a cyclic configuration. We show that it depends not only on the combinatorics of a cyclic configuration, but also on its metric properties.
Vladimir N. Grujić (2011)
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