References
G.Birkhoff,Lattice Theory, Amer. Math. Soc. Colloq. Publ.25, Third Edition (1967).
R. P. Dilworth,A decomposition theorem for partially ordered sets. Annals of Math.51 (1950), 161–165.
R. P.Dilworth,Some combinatorial problems on partially ordered sets, Combinatorial Analysis (Proc. Symp. Appl. Math.), American Math. Soc. (1960), 85–90.
R. Freese,An application of Dilworth's lattice of maximal antichains, Discrete Math.7 (1974), 107–109.
G.Gratzer,General Lattice Theory, Pure and Applied Maths. Series, Academic Press (1978).
C. Greene andD. J. Kleitman,Proof techniques in the theory of finite sets, Studies in Combinatorics (G. C. Rota), MAA Studies in Math.17 (1978), 22–79.
D. J. Kleitman, M. Edelberg andD. Lubell,Maximum sized antichains in partial orders, Discrete Math.1 (1971), 47–53.
D. B.West,Extremal problems in partially ordered sets, Proc. Symp. on Ordered Sets (1982).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Koh, K.M. On the lattice of maximum-sized antichains of a finite poset. Algebra Universalis 17, 73–86 (1983). https://doi.org/10.1007/BF01194515
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF01194515