J. M. Brunat

collaborators

4 papers

math.CO2006

A polynomial generalization of the power-compositions determinant

Josep M. Brunat, Antonio Montes

Let $C (n, p)$ be the set of $p$ -compositions of an integer $n$ , i.e., the set of $p$ -tuples $α = (α_{1}, ..., α_{p})$ of nonnegative integers such that $α_{1} + ... + α_{p} = n$ , and $\mathbf{x}=(…

math.AC2006

On polynomial digraphs

Josep M. Brunat, Antonio Montes

Let $Φ (x, y)$ be a bivariate polynomial with complex coefficients. The zeroes of $Φ (x, y)$ are given a combinatorial structure by considering them as arcs of a directed graph $G (Φ)$ .…

math.AC2006

The characteristic ideal of a finite, connected, regular graph

Josep M. Brunat, Antonio Montes

Let $Φ (x, y) \in C [x, y]$ be a symmetric polynomial of partial degree $d$ . The graph $G (Φ)$ is defined by taking $C$ as set of vertices and the points of $\mathbb{V}(…

math.CO2005

Some composition determinants

J. M. Brunat, C. Krattenthaler, A. Lascoux +1

We compute two parametric determinants in which rows and columns are indexed by compositions, where in one determinant the entries are products of binomial coefficients, while in t…