Linear extension: Difference between revisions

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No information was added, removed, or changed. Only copy editing to make this article more compliant with MOS:MATH and WP:ACCESSIBILITY. Minor rewording/rearranging/fixes. Spell out abbreviations s.t./iff/i.e./can't/... and symbols ∀∃⇔⇒∨∧¬ (exceptions for e.g. formal logic). Try to write complete sentences. Avoid we/one/us/clearly/note/... Avoid symbols that might not render correctly in some browsers like Unicode ∪∩≠≤→∈∑⊕√∞ or σℱ𝔉𝔽ℝℂℕ by e.g. replacing them with LaTeX.
m corrected capitalization
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== Related results ==
 
The order extension principle is [[Constructive proof|constructively provable]] for {{em|finite}} sets using [[topological sorting]] algorithms, where the partial order is represented by a [[Directeddirected acyclic graph]] with the set's elements as its [[Vertex (graph theory)|vertices]]. Several algorithms can find an extension in [[linear time]].<ref>{{citation
| last1 = Cormen | first1 = Thomas H. | author1-link = Thomas H. Cormen
| last2 = Leiserson | first2 = Charles E. | author2-link = Charles E. Leiserson