J. M. Brunat

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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}(…