A Construction of Isomorphism Classes of Oriented Matroids

We developed a computer program for generating all oriented matroids corresponding to a prescribed underlying matroid. The generation process and its output can be controlled via a variety of possible restrictions allowing to generate specific sets of oriented matroids. The tool was mainly intended for application in chemistry: According to an idea of A. Dreiding and A. Dress, oriented matroid generation may be used as a first step towards a conformation generation for chemical structures. We describe the main ideas of the generation algorithm as well as an application to the conformation analysis of cyclohexane. A combination with the Grobner base approach for conformation analysis going back to P. Hazebroek and L. Oosterhoff is suggested.