Weighted P-partitions enumerator

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
M. Pešović, Tanja Stojadinovic
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引用次数: 0

Abstract

To an extended generalized permutohedron we associate the weighted integer points enumerator, whose principal specialization is the f-polynomial. In the case of poset cones it refines Gessel's P-partitions enumerator. We show that this enumerator is a quasisymmetric function obtained by universal morphism from the Hopf algebra of posets.
加权p分区枚举数
对于一个扩展的广义复面体,我们将加权整数点枚举数联系起来,其主要专门化是f-多项式。在偏集锥的情况下,它改进了Gessel的p分区枚举数。从序集的Hopf代数中证明了该枚举数是一个由泛态射得到的拟对称函数。
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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