{ "id": "1010.1836", "version": "v2", "published": "2010-10-09T11:33:34.000Z", "updated": "2010-10-18T18:42:19.000Z", "title": "Pattern Recognition on Oriented Matroids: K*-Vectors and Reorientations", "authors": [ "Andrey O. Matveev" ], "comment": "9 pages", "categories": [ "math.CO" ], "abstract": "The components of K*-vectors associated to a simple oriented matroid M are the numbers of general or special tope committees for M. Using the principle of inclusion-exclusion, we determine how the reorientations of M on one-element subsets of its ground set affect K*-vectors.", "revisions": [ { "version": "v2", "updated": "2010-10-18T18:42:19.000Z" } ], "analyses": { "keywords": [ "pattern recognition", "reorientations", "special tope committees", "ground set affect", "one-element subsets" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1010.1836M" } } }