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arXiv · 2209.05940

Some extremal problems for polygons in the Euclidean plane

Yu. G. Nikonorov·O. Yu. Nikonorova
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Abstract

The paper is devoted to some extremal problems, related to convex polygons in the Euclidean plane and their perimeters. We present a number of results that have simple formulations, but rather intricate proofs. Related and still unsolved problems are discussed too.

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Yu. G. Nikonorov, O. Yu. Nikonorova. 2022-10-01. Some extremal problems for polygons in the Euclidean plane. https://doi.org/10.1007/s00010-023-00991-w

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