Determinant Expansions of Signed Matrices and of Certain Jacobians
Rings and Algebras
2011-04-19 v1 Combinatorics
Abstract
This paper treats two topics: matrices with sign patterns and Jacobians of certain mappings. The main topic is counting the number of plus and minus coefficients in the determinant expansion of sign patterns and of these Jacobians. The paper is motivated by an approach to chemical networks initiated by Craciun and Feinberg. We also give a graph-theoretic test for determining when the Jacobian of a chemical reaction dynamics has a sign pattern.
Keywords
Cite
@article{arxiv.0802.4319,
title = {Determinant Expansions of Signed Matrices and of Certain Jacobians},
author = {J. William Helton and Igor Klep and Raul Gomez},
journal= {arXiv preprint arXiv:0802.4319},
year = {2011}
}
Comments
25 pages