On a Reconstruction Problem of Harary and Manvel

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On a Reconstruction Problem of Harary and Manvel

We give a complete answer to a question raised by Harary and Manvel in 1972 [3] by proving that a finite set A of points in the plane R is uniquely determined up to translation and rotation by a multiple of 90◦ by 5 of its (|A| − 1)-element subsets given up to translation and rotation by a multiple of 90◦. This result is best-possible.

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series A

سال: 2002

ISSN: 0097-3165

DOI: 10.1006/jcta.2002.3253