COUNTING NETWORKS WITH ARBITRARY FAN-OUT

被引：17

作者：

AHARONSON, E ^{[1
]}

ATTIYA, H ^{[1
]}

机构：

[1] TECHNION ISRAEL INST TECHNOL,DEPT COMP SCI,IL-32000 HAIFA,ISRAEL

来源：

DISTRIBUTED COMPUTING | 1995年 / 8卷 / 04期

关键词：

SMOOTHING NETWORKS; LOAD BALANCING; PRODUCER CONSUMER;

D O I：

10.1007/BF02242734

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

It is shown that an acyclic smoothing network (and hence counting network) with fan-out n cannot be constructed from balancers of fan-out b(1),..., b(k), if there exists a prime factor p of 12, such that p does not divide b(i), for all i, 1 less than or equal to i less than or equal to k. This holds regardless of the depth, fan-in or size of the network, as long as they are finite. On the positive side, a simple construction of cyclic counting networks with fan-out n, for arbitrary n, is presented. An acyclic counting network with fan-in and fan-out p2(k), for any integer k greater than or equal to 0, is constructed out of 2-balancers and p-balancers.

引用

页码：163 / 169

页数：7

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