This paper is fairly interesting, and has reasonably extensive references:
http://www.mat.ub.edu/EMIS/journals/ELA/ela-articles/articles/vol9_pp255-269.pdf
This link works:
http://repository.uwyo.edu/ela/vol9/iss1/21/
The paper is:
Naqvi, Sarah Carnochan; McDonald, Judith J., The combinatorial structure of eventually nonnegative matrices, Electron. J. Linear Algebra 9, 255-269 (2002). ZBL1039.15003.