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antichain

   Also found in: Wikipedia 0.01 sec.
antichain [′an·tē‚chān]
(mathematics)
A subset of a partially ordered set in which no pair is a comparable pair.

(mathematics)antichain - A subset S of a partially ordered set P is an antichain if,

for all x, y in S, x <= y => x = y

I.e. no two different elements are related.

("<=" is written in LaTeX as \subseteq).


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i] being either an oriented acyclic graph, a clique, an independent set, a chain, a reflexive clique, or an antichain and if D contains no 2-element autonomous subset then [[phi].
 
 
 
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