English

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

Combinatorics 2023-03-24 v3

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.

Keywords

Cite

@article{arxiv.2011.03033,
  title  = {Pattern Recognition on Oriented Matroids: Symmetric Cycles in the Hypercube Graphs. IV},
  author = {Andrey O. Matveev},
  journal= {arXiv preprint arXiv:2011.03033},
  year   = {2023}
}

Comments

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

R2 v1 2026-06-23T19:56:50.173Z