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The Marica-Schönheim Inequality says that if A is a finitefamily of sets, then |A||A| where AA=[A1\A2:A1,A2A]. For a finite lattice L and AL, we define ab=(Ja\Jb)where Ja=[jL:ja and j is join-irreducible], and if AL then welet AA=[a1a2: a1, a2A]. Then the analogue of theMarica-Schöonheim Inequality is |AA|A| for all AL.We prove that this is true if L is distributive or complementedand modular or L is a partition lattice. 相似文献
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Zsolt Lengvarszky 《Discrete Mathematics》2009,309(12):4171-4175
We consider the problem of how the assembly process of an origami model, made up of similar pieces, can be completed given that at each step there are several choices. A result is given in the language of graphs that provides a sufficient condition under which assembly of the model will never fail. 相似文献
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