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On polynomial digraphs
Authors:Josep M Brunat
Institution:Departament de Matemàtica Aplicada 2, Universitat Politècnica de Catalunya, Carrer Pau Gargallo, 5, E08028-Barcelona, Catalonia, Spain
Abstract: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). This paper studies some relationship between the polynomial Φ(x,y) and the structure of G(Φ).
Keywords:Polynomial digraph  Polynomial graph  Galois graph  Cayley digraph  Algebraic variety
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