Geodesic
On the uniqueness of algebraic curves
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2015), pp. 3-7

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It is well-known that $N-1$ $n$-independent nodes uniquely determine curve of degree $n,$ where $N=(1/2)(n+1)(n+2).$ We are interested in finding the minimal number of $n$-independent nodes determining uniquely curve of degree $k\le n-1.$ In this paper we show that this number for $k=n-1$ is $N-4$.
Keywords: independent nodes, algebraic curves.
Mots-clés : polynomial interpolation 
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V. H. Bayramyan; H. A. Hakopian; S. Z. Toroyan. On the uniqueness of algebraic curves. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2015), pp. 3-7. http://geodesic.mathdoc.fr/item/UZERU_2015_1_a0/