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Generalized Measures of Edge Fault Tolerance in (n,k)-star Graphs
Combinatorics fault-tolerant analysis (n, k)-star graphs edge-connectivity h-super edge-connectivity
2012/4/18
This paper considers a kind of generalized measure $\lambda_s^{(h)}$ of fault tolerance in the $(n,k)$-star graph $S_{n,k}$ for $2\leqslant k \leqslant n-1$ and $0\leqslant h \leqslant n-k$, and deter...
Entropy of Schur-Weyl Measures
Schur-Weyl Measures Combinatorics Probability Representation Theory
2011/8/30
Abstract: Relative dimensions of isotypic components of N-th order tensor representations of the symmetric group on n letters give a Plancherel-type measure on the space of Young diagrams with n cells...
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
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...