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Construction Methods for Gaussoids

Combinatorics 2021-10-26 v2 Statistics Theory Statistics Theory

Abstract

The number of nn-gaussoids is shown to be a double exponential function in nn. The necessary bounds are achieved by studying construction methods for gaussoids that rely on prescribing 33-minors and encoding the resulting combinatorial constraints in a suitable transitive graph. Various special classes of gaussoids arise from restricting the allowed 33-minors.

Keywords

Cite

@article{arxiv.1902.11260,
  title  = {Construction Methods for Gaussoids},
  author = {Tobias Boege and Thomas Kahle},
  journal= {arXiv preprint arXiv:1902.11260},
  year   = {2021}
}

Comments

18 pages, 3 figures, 1 table; corrected Remark 3.13 and minor changes

R2 v1 2026-06-23T07:54:36.130Z