IMI/Publicaţii/CSJM/Ediţii/CSJM v.20, n.3 (60), 2012/

Gröbner Basis Approach to Some Combinatorial Problems

Authors: V. Ufnarovski
Keywords: Gröbner basis, zero-dimensional ideal, finite configuration, complete symmetric polynomials.


We consider several simple combinatorial problems and discuss different ways to express them using polynomial equations and try to describe the Gröbner basis of the corresponding ideals. The main instruments are complete symmetric polynomials that help to express different conditions in rather compact way.

Centre for Mathematical Sciences, Mathematics,
Lund University, LTH
P.O. Box 118, SE-22100, Lund, Sweden


Adobe PDF document0.14 Mb