2005/09/27 by Cordovil, Raul, Forge, David
#05B35 #14F40 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.math/0509629
A family C of circuits of a matroid M is a linear class if, given a modular pair of circuits in C, any circuit contained in the union of the pair is also in C. The pair (M,C) can be seen as a matroidal generalization of a biased graph. We introduce and study an Orlik-Solomon type algebra determined by (M,C). If C is the set of all circuits of M this algebra is the Orlik-Solomon algebra of M.