13 citations · 39 across the 14 of their papers we have counts for
4 papers · 1 filter
Regular sequences of power sums and complete symmetric polynomials
Neeraj Kumar, Ivan Martino
In this article, we carry out the investigation for regular sequences of symmetric polynomials in the polynomial ring in three and four variable. Any two power sum element in $\mat…
Vertex Collapsing and Cut Ideals
Ivan Martino
In this work we study how some elementary graph operations (like the disjoint union) and the collapse of two vertices modify the cut ideal of a graph. They pave the way for reducin…
Systematic Discovery of Runge-Kutta Methods through Algebraic Varieties
Ivan Martino, Giuseppe Nicosia
This work presents a new evolutionary optimization algorithm in theoretical mathematics with important applications in scientific computing. The use of the evolutionary algorithm i…
An Algebraic Proof for the Identities for Degree of Syzygies in Numerical Semigroup
Ivan Martino, Neeraj Kumar
In a recent paper by L. Fel two new identities for the degree of syzygies are given. We present an algebraic proof of them, using only basic homological algebra tools. We also exte…