1 citations · 1 across the 4 of their papers we have counts for
6 papers
On the usage of -node lines in -correct and sets
Hakop Hakopian, Gagik Vardanyan, Navasard Vardanyan
An -correct set in the plane is a set of nodes admitting unique interpolation with bivariate polynomials of total degree at most . A -node line is a line pas…
On a result concerning algebraic curves passing through -independent nodes
Hakop Hakopian
Let a set of nodes in the plane be -independent, i.e., each node has a fundamental polynomial of degree Assume that\\ $\#\mathcal X=d(n,n-3)+3= (n+1)+n+\cdots+…
On the Gasca-Maeztu conjecture for
Hakop Hakopian, Gagik Vardanyan, Navasard Vardanyan
A two-dimensional -correct set is a set of nodes admitting unique bivariate interpolation with polynomials of total degree at most ~. We are interested in correct sets with t…
On plane algebraic curves passing through -independent nodes
Hakop Hakopian, Harutyun Kloyan, Davit Voskanyan
Let a set of nodes in the plane be -independent, i.e., each node has a fundamental polynomial of degree Assume that $\#\mathcal X=d(n,k-3)+3= (n+1)+n+\cdots+(n…
On the Noether and the Cayley-Bacharach theorems with PD multiplicities
Hakop Hakopian, Navasard Vardanyan
In this paper, we prove the Noether theorem with the multiplicities described by PD operators. Despite the known analogue versions in this case the provided conditions are necessar…
On the dimension of spaces of algebraic curves passing through -independent nodes
Hakop Hakopian, Harutyun Kloyan
Let a set of nodes in plain be -independent, i.e., each node has a fundamental polynomial of degree Suppose also that where $d(n,k-…