English

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

Combinatorics 2020-08-25 v4

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.

Keywords

Cite

@article{arxiv.1805.06810,
  title  = {Pattern Recognition on Oriented Matroids: Symmetric Cycles in the Hypercube Graphs. III},
  author = {Andrey O. Matveev},
  journal= {arXiv preprint arXiv:1805.06810},
  year   = {2020}
}

Comments

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

R2 v1 2026-06-23T01:58:51.278Z