搜索结果: 1-5 共查到“组合数学 partitions”相关记录5条 . 查询时间(0.109 秒)
Actions and identities on set partitions
Actions and identities set partitions Combinatorics
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2011/9/16
Abstract: A labeled set partition is a partition of a set of integers whose arcs are labeled by nonzero elements of an abelian group $A$. Inspired by the action of the linear characters of the unitria...
Crystal rules for $(\ell,0)$-JM partitions
Crystal rules Combinatorics Representation Theory
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2011/9/14
Abstract: Vazirani and the author \cite{BV} gave a new interpretation of what we called $\ell$-partitions, also known as $(\ell,0)$-Carter partitions. The primary interpretation of such a partition $\...
A note on vertex partitions
vertex partitions Combinatorics general lemma
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2011/8/31
Abstract: We prove a general lemma about partitioning the vertex set of a graph into subgraphs of bounded degree. This lemma extends a sequence of results of Lov\'asz, Catlin, Kostochka and Rabern.
Unique path partitions: Characterization and Congruences
binary partitions unique path partitions rim hooks symmetric group character values congruences
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2011/8/26
Abstract: We give a complete classification of the unique path partitions and study congruence properties of the function which enumerates such partitions.
On Measures on Partitions Arising in Harmonic Analysis for Linear and Projective Characters of the Infinite Symmetric Group
Partitions Arising Harmonic Analysis the Infinite Symmetric Group Combinatorics
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2011/8/25
Abstract: The z-measures on partitions originated from the problem of harmonic analysis of linear representations of the infinite symmetric group in the works of Kerov, Olshanski and Vershik (1993, 20...