Pattern Recognition on Oriented Matroids: Symmetric Cycles in the Hypercube Graphs. IV

Abstract

We present statistics on the decompositions (with respect to a distinguished symmetric 2t-cycle) of vertices of the hypercube graph, whose negative parts are covered by two subsets of the ground set {1,...,t} of the corresponding oriented matroid.

26 pages. v.2 - minor improvements; v.3 - Theorems 4.6 and 4.8 corrected