In this paper, we consider the problem of avoidance of subword patterns in flattened partitions, which extends recent work of Callan. We determine in all cases explicit formulas and/or generating functions for the number of set partitions of size n which avoid a single subword pattern of length three. The asymptotic behavior of the resulting counting sequences turns out to depend quite heavily ...

Parallel processing is efficient form of information processing which means to implement high performance computing systems. A communication network that links processors and memory modules determines the efficiency of these parallel systems. To provide the required connectivity and performance at reasonable cost, an interconnection network is used. Hence, multistage interconnection networks ar...

X iv :0 80 6. 13 05 v1 [ as tr oph ] 8 J un 2 00 8 General Flattened Jaffe Models for Galaxies⋆ Zhenglu Jiang, Daoyuan Fang, Hongxia Liu, David Moss Department of Mathematics, Zhongshan University, Guangzhou 510275, P. R. China Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China Department of Mathematics, Jinan University, Guangzhou 510632, P. R. China Department of Mat...