On the Posets (W2k, <) and their Connections with Some Homogeneous Inequalities of Degree 2

A class of ranked posets {(D h, )} has been recently defined in order to analyse, from a combinatorial viewpoint, particular systems of real homogeneous inequalities between monomials. In the present paper we focus on the posets D 2 , which are related to systems of the form {xaxb ∗abcd xcxd : 0 ≤ a, b, c, d ≤ k, ∗abcd ∈ {<, >}, 0 < x0 < x1 < ... < xk}. As… CONTINUE READING