Combinatorial reciprocity theorems
Combinatorial reciprocity theorems
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DOI：
10.1007/978-94-010-1826-5_16
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发表时间：
1974-10
影响因子：
1.7
通讯作者：
R. Stanley
中科院分区：
文献类型：
--
作者：
R. Stanley
组合互易定理是在两个相关的计数问题之间建立一种对偶的结果。这个相当模糊的概念将变得更加清晰，因为越来越多的例子，这样的定理。我们将在本文中的内容与解释的意义，各种互惠定理，通过单纯的声明的结果，连同澄清的例子。一个严格的治疗与详细的证据出现在[11J。
A combinatorial reciprocity theorem is a result which establishes a kind of duality between two related enumeration problems. This rather vague concept will become clearer as more and more examples of such theorems are given. We shall be content in this paper with explaining the meaning of various reciprocity theorems via mere statements of results, together with clarifying examples. A rigorous treatment with detailed proofs appears in [llJ.