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Data aggregation is a critical operation in many big-data applications; for example, data residing in several source racks (mappers) are to be aggregated into one or more specified racks called aggregators (reducers) in the data center network during the shuffle phase of a map-reduce task. In this paper, we explore algorithms for data aggregation to two aggregators in a data center network under the...
We consider the problem of data aggregation using two aggregators. We assume that the source racks can split the data they need to send to the aggregators across multiple paths. We show that obtaining a topology that minimizes aggregation time is NP-hard for k = 2, 3,4, where k the degree of ToR (top-of-rack) switches. We also show that an optimal topology can be computed in polynomial time for k...
The survivable logical topology mapping problem in an IP-over-WDM optical network is to map each link (u, v) in the logical topology (at the IP layer) into a lightpath between the nodes u and v in the physical topology (at the optical layer) such that failure of a physical link does not cause the logical topology to become disconnected. It is assumed that both the physical and logical topologies are...
With its 9 cores per chip, the IBM Cell/Broadband Engine (Cell) can deliver an impressive amount of compute power and benefit the string-matching kernels of network security, business analytics and natural language processing applications. However, the available amount of main memory on the system limits the maximum size of the dictionary supported by the string matching solution. To counter that,...
We consider several important problems for which no polynomially time bounded algorithm is known. These problems are shown to be related in that a polynomial algorithm for one implies a polynomial algorithm for the others.
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