In this paper we present a combinatorial study of binomial ideals of dimension 1 of k[X1, . . . , Xn], using monomial parametrizations of the irreducible affine curves defined by their associated primes. We find an algorithm that checks whether or not the ideal of a union of monomial curves is binomial and another one that calculates curves such that their associated ideal is a prescribed latti...

In this paper, an iterative method is proposed for finding the spectral radius of irreducible nonnegative tensor based on diagonal similar tensors. The convergent tensors and has explicit linear convergence rate generalized weakly positive Some numerical results are provided to illustrate efficiency method.

Since 1979 when threshold schemes were introduced by Blakley (Bla79) and Shamir (Sha79), many papers in this area have been published. These papers are mostly about particular designs and applications of threshold schemes. In this work, we are interested in characterisations of ideal threshold schemes rather than particular constructions. Of course, these characteristic properties do not depend...

We study properties of the tropical double Hurwitz loci defined by Bertram, Cavalieri and Markwig. We show that all such loci are connected in codimension one. If we mark preimages of simple ramification points, then for a generic choice of such points the resulting cycles are weakly irreducible, i.e. an integer multiple of an irreducible cycle. We study how Hurwitz cycles can be written as div...

Since the eigenvalue problem of real supersymmetric tensors was proposed, there have been many results regarding numerical algorithms for computing spectral radius nonnegative tensors, among which NQZ method is most studied. However, only suitable calculating a special weakly primitive tensor, or irreducible tensor that satisfies certain conditions. In this paper, by means diagonal similarrity ...