%0 Journal Article
%T Another Proof of the Fact that Polyhedral Cones are Finitely Generated
%A Volker Kaibel
%J Mathematics
%D 2009
%I arXiv
%X In this note, we work out a simple inductive proof showing that every polyhedral cone K is the conic hull of a finite set X of vectors. The base cases of the induction are linear subspaces and linear halfspaces of linear subspaces. The proof also shows that the components of the vectors in X can be chosen (up to their sign) to be quotients of subdeterminants of the coefficient matrix of any inequality system defining K.
%U http://arxiv.org/abs/0912.2927v1