English

Notes on planar semimodular lattices. IX. $\mathcal{C}_1$-diagrams

Combinatorics 2021-06-17 v4

Abstract

A planar semimodular lattice LL is \emph{slim} if M3\mathbf{M}_3 is not a sublattice of LL. In a recent paper, G. Cz\'edli introduced a very powerful diagram type for slim, planar, semimodular lattices. This short note proves the existence of such diagrams.

Keywords

Cite

@article{arxiv.2104.02534,
  title  = {Notes on planar semimodular lattices. IX. $\mathcal{C}_1$-diagrams},
  author = {George Grätzer},
  journal= {arXiv preprint arXiv:2104.02534},
  year   = {2021}
}
R2 v1 2026-06-24T00:53:20.167Z