Math 2.0

Order, lattices, ordered algebraic structures Chains, antichains, dimension Concept

Width of a poset

Summary

The width of a partially ordered set is the largest size of an antichain in it. It measures how many elements can be pairwise incomparable at the same time. By Dilworth's theorem, for a finite poset it is also the least number of chains that cover the poset.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Dilworth's_theorem
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