字里行间 发表于 2025-3-21 19:32:10
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The Sperner Property,o be played by finite groups in Chapter ., which is a continuation of the present chapter. In general, extremal set theory is concerned with finding (or estimating) the most or least number of sets satisfying given set-theoretic or combinatorial conditions. For example, a typical easy problem in ext骨 发表于 2025-3-22 07:19:23
Group Actions on Boolean Algebras,y element . of . we associate a permutation (also denoted .) of ., such that for all . ∈ . and ., . ∈ . we have . Thus an action of . on . is the same as a homomorphism ., where . denotes the symmetric group of all permutations of ..kidney 发表于 2025-3-22 09:15:08
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Eulerian Digraphs and Oriented Trees,or non-closed walks.) Such a walk is called an .(also known as an .).A graph which has an Eulerian tour is called an ..Euler’s famous theorem (the first real theorem of graph theory) states that a graph . without isolated vertices (which clearly would be irrelevant) is Eulerian if and only if it isExtemporize 发表于 2025-3-22 20:43:56
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Miscellaneous Gems of Algebraic Combinatorics,ent prisoner. The prisoners enter the room one at a time. Each prisoner must open 50 of the boxes, one at a time. If any of the prisoners does not see his or her own name, then they are all killed. The prisoners may have a discussion before the first prisoner enters the room with the boxes, but afte剧本 发表于 2025-3-23 03:55:12
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