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

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 regarded as disjoint unions of two subsets of the ground set {1,...,t} of the corresponding oriented matroid.

21 pages. v.2 - ordered pairs considered in Th. 4.1; references added; v.3,4 - Appendix extended; references added and updated