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单词 Poset Dimension
释义

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.

See also Dimension, Dominance, Isomorphic Posets, Realizer


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.


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