On polynomial digraphs

Abstract

Let $\Phi (x,y)$ be a bivariate polynomial with complex coefficients. The zeroes of $\Phi (x,y)$ are given a combinatorial structure by considering them as arcs of a directed graph $G(\Phi )$. This paper studies some relationship between the polynomial $\Phi (x,y)$ and the structure of $G(\Phi )$.

13 pages, 6 figures, See also http://www-ma2.upc.edu/~montes/