Geodesic
Notes on planar semimodular lattices IX \( \mathcal{C}_1 \)-diagrams
Discussiones Mathematicae. General Algebra and Applications, Tome 43 (2023) no. 1, pp. 25-29

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A planar semimodular lattice L is slim if 𝖬_3 is not a sublattice of L. In a recent paper, G. Czédli introduced a very powerful diagram type for slim, planar, semimodular lattices, the 𝒞_1-diagrams. This short note proves the existence of such diagrams.
Keywords: $\mathcal{C}_1$-diagrams, slim planar semimodular lattice 
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Grätzer, George. Notes on planar semimodular lattices IX \( \mathcal{C}_1 \)-diagrams. Discussiones Mathematicae. General Algebra and Applications, Tome 43 (2023) no. 1, pp. 25-29. http://geodesic.mathdoc.fr/item/DMGAA_2023_43_1_a1/