Poset Dimension

The Dimension of a Poset is the size of the smallest Realizer of . Equivalently, itis the smallest Integer such that is Isomorphic to a Dominance order in.

References

Dushnik, B. and Miller, E. W. ``Partially Ordered Sets.'' Amer. J. Math. 63, 600-610, 1941.

Trotter, W. T. Combinatorics and Partially Ordered Sets: Dimension Theory. Baltimore, MD: Johns Hopkins University Press, 1992.

• Small Retrosnub Icosicosidodecahedron
• Small Rhombicosidodecahedron
• Small Rhombicuboctahedron
• Small Rhombidodecacron
• Small Rhombidodecahedron
• Small Rhombihexacron
• Small Rhombihexahedron
• Small Snub Icosicosidodecahedron
• Small Stellapentakis Dodecahedron
• Small Stellated Dodecahedron
• Small Stellated Triacontahedron
• Small Stellated Truncated Dodecahedron
• Small Triakis Octahedron
• Small Triambic Icosahedron
• Small World Problem
• Smarandache Ceil Function
• Smarandache Constants
• Smarandache Function
• Smarandache-Kurepa Function
• Smarandache Near-to-Primorial Function
• Smarandache Paradox
• Smarandache Sequences
• Smarandache-Wagstaff Function
• Smith Brothers
• Smith Conjecture