On polynomial digraphs

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Mar 2006Embargo end date: 01 Jan 2006 English Publisher:Elsevier BVJournal:Discrete Mathematics, volume 306, pages 401-412 (issn: 0012-365X,

Copyright policy )Funded by:FCT | D4

Authors: Josep M. Brunat; Antonio Montes;

doi: 10.1016/j.disc.2006.01.001 , 10.48550/arxiv.math/0601731

arXiv: math/0601731

On polynomial digraphs

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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 $G(Φ)$.

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

Related Organizations

Universitat Polite`cnica de Catalunya
Spain
Universitat Politècnica de Catalunya
Spain
Universitat Polit?cnica de Catalunya
Spain

Keywords

algebraic variety, 14H99, Algebraic variety, polynomial graph, Directed graphs (digraphs), tournaments, Caley digraph, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Graphs and abstract algebra (groups, rings, fields, etc.), Theoretical Computer Science, Galois graph, FOS: Mathematics, 05C75; 14H99; 14H05, Discrete Mathematics and Combinatorics, Mathematics - Combinatorics, 05C75, 14H05, Polynomial graph, Combinatorics (math.CO), Cayley digraph, Polynomial digraph

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