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传递约简和传递闭包都是有向无环图的特有概念<!-- is uniquely defined 唯一的？ -->。相反的，对于有向有环图，可以存在多个与原图有着相同可达性的最简子图。<ref>{{citation|title=Digraphs: Theory, Algorithms and Applications|series=Springer Monographs in Mathematics|first1=Jørgen|last1=Bang-Jensen|first2=Gregory Z.|last2=Gutin|publisher=Springer|year=2008|isbn=978-1-84800-998-1|url=https://books.google.com/books?id=4UY-ucucWucC&pg=PA36|contribution=2.3 Transitive Digraphs, Transitive Closures and Reductions|pages=36–39}}.</ref>

传递约简和传递闭包都是有向无环图的特有概念<!-- is uniquely defined 唯一的？ -->。相反的，对于有向有环图，可以存在多个与原图有着相同可达性的最简子图。<ref>{{citation|title=Digraphs: Theory, Algorithms and Applications|series=Springer Monographs in Mathematics|first1=Jørgen|last1=Bang-Jensen|first2=Gregory Z.|last2=Gutin|publisher=Springer|year=2008|isbn=978-1-84800-998-1|url=https://books.google.com/books?id=4UY-ucucWucC&pg=PA36|contribution=2.3 Transitive Digraphs, Transitive Closures and Reductions|pages=36–39}}.</ref>

对于有向无环图G和表达其可达性的偏序关系≤，它的传递规约也可以看作包含G的覆盖关系covering relation中每一条边的G的子图。传递规约在图示有向无环图的偏序关系时十分有用，因为它们比其他具有相同偏序关系的图的边数要少，这简化了绘图。偏序关系的[[哈斯图]]由将传递规约中的每条边的起点绘制在其终点的下方而得到。<ref>{{citation|title=Graphs, Networks and Algorithms|volume=5|series=Algorithms and Computation in Mathematics|first=Dieter|last=Jungnickel|publisher=Springer|year=2012|isbn=978-3-642-32278-5|pages=92–93|url=https://books.google.com/books?id=PrXxFHmchwcC&pg=PA92}}.</ref>

对于有向无环图{{mvar|G}}和表达其可达性的偏序关系{{math|≤}}，它的传递规约也可以看作包含{{mvar|G}}的{{link-en|覆盖关系|covering relation}}中每一条边的{{mvar|G}}的子图。传递规约在图示有向无环图的偏序关系时十分有用，因为它们比其他具有相同偏序关系的图的边数要少，这简化了[[绘图]]。偏序关系的[[哈斯图]]由将传递规约中的每条边的起点绘制在其终点的下方而得到。<ref>{{citation|title=Graphs, Networks and Algorithms|volume=5|series=Algorithms and Computation in Mathematics|first=Dieter|last=Jungnickel|publisher=Springer|year=2012|isbn=978-3-642-32278-5|pages=92–93|url=https://books.google.com/books?id=PrXxFHmchwcC&pg=PA92}}.</ref>

=== 拓扑排序===

=== 拓扑排序===