On the Coordinatization of Oriented Matroids.
On the excluded minors for matroids of branch-width three.
On the local linear independence of translates of a box spline
On the maximum positive semi-definite nullity and the cycle matroid of graphs.
On the notion of transversal of a sum of matroids
On the number of matroids on a finite set.
On the rank of random subsets of finite affine geometry
The aim of the paper is to give an effective formula for the calculation of the probability that a random subset of an affine geometry AG(r-1,q) has rank r. Tables for the probabilities are given for small ranks. The expected time to the first moment at which a random subset of an affine geometry achieves the rank r is derived.
On the Realization of Convex Polytopes, Euler's Formula and Möbius Functions (Short Communication)
On the Realization of Convex Polytopes, Euler's Formula and Möbius Functions
On the union of matching matroids
One-adhesive polymatroids
Adhesive polymatroids were defined by F. Matúš motivated by entropy functions. Two polymatroids are adhesive if they can be glued together along their joint part in a modular way; and are one-adhesive, if one of them has a single point outside their intersection. It is shown that two polymatroids are one-adhesive if and only if two closely related polymatroids have joint extension. Using this result, adhesive polymatroid pairs on a five-element set are characterized.
Oriented matroids in terms of order functions.
Oriented matroids today.
Oriented Matroids with Few Mutations.
Ovals and non-ovoidal Laguerre planes.
Parallel projection of matroid spheres
Parity systems and the delta-matroid intersection problem.
Rank-three matroids are Rayleigh.
Rational model of the subspace complement on atomic complexes.
Relations, coverings, hypergraphs and matroids