This article is cited in 5 papers

Mathematics

On the uniqueness of algebraic curves

V. H. Bayramyan, H. A. Hakopian, S. Z. Toroyan

Yerevan State University

Abstract: 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: polynomial interpolation, independent nodes, algebraic curves.

MSC: Primary 41A05; Secondary 14H50

Received: 27.01.2015
Accepted: 27.01.2015

Language: English