English

On polynomial digraphs

Commutative Algebra 2007-05-23 v2 Combinatorics

Abstract

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

Keywords

Cite

@article{arxiv.math/0601731,
  title  = {On polynomial digraphs},
  author = {Josep M. Brunat and Antonio Montes},
  journal= {arXiv preprint arXiv:math/0601731},
  year   = {2007}
}

Comments

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