On plane algebraic curves passing through $n$-independent nodes

Hakop Hakopian, Harutyun Kloyan, Davit Voskanyan

Let a set of nodes $\mathcal{X}$ in the plane be $n$-independent, i.e., each node has a fundamental polynomial of degree $n.$ Assume that $\#\mathcal X=d(n,k-3)+3= (n+1)+n+\cdots+(n…