论文信息 - Symmetry and the Ramsey degree of posets

Symmetry and the Ramsey degree of posets

In this paper we introduce a measure of the extent to which a given finite poset deviates from being a Ramsey object in the class of finite posets. We show how this measure depends on the symmetry properties of a poset.

W. Fouché

[1] Vojtěch Rödl,et al. Combinatorial partitions of finite posets and lattices —Ramsey lattices , 1984 .

[2] W. T. Trotter,et al. Graphs and Orders in Ramsey Theory and in Dimension Theory , 1985 .

[3] Frank Plumpton Ramsey,et al. On a Problem of Formal Logic , 1930 .

[4] J. Spencer. Ramsey Theory , 1990 .

[5] R. Graham,et al. Ramsey’s theorem for $n$-parameter sets , 1971 .

[6] Vojtech Rödl,et al. Partitions of Finite Relational and Set Systems , 1977, J. Comb. Theory A.

[7] I. Rival. Graphs and Order , 1985 .