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We propose a stochastic model for the diffusion of topics entering a social network modeled by a Watts-Strogatz graph. Our model sets into play an implicit competition between these topics as they vie for the attention of users in the network. The dynamics of our model are based on notions taken from real-world OSNs like Twitter where users either adopt an… (More)

—In this paper, we show that the problem of configuring the topology of a data center network to optimize data aggregation is NP-hard even when the number of aggregators is 1. Further, the approximation ratio of the algorithm proposed by Wang, Ng, and Shaikh [3] for the case of a single aggregator is (k+1)/2, where k is the degree of ToR (top-of-rack)… (More)

—The least cost influence (LCI) problem, which asks to identify a minimum number of seed users who can eventually influence a large number of users, has become one of the central research topics recently in online social networks (OSNs). However, existing works mostly focused on a single network while users nowadays often join several OSNs. Thus, it is… (More)

Farey sequence has been a topic of interest to the mathematicians since the very beginning of last century. With the emergence of various algorithms involving the digital plane in recent times, several interesting works related with the Farey sequence have come up. Our work is related with the problem of searching an arbitrary fraction in a Farey sequence… (More)

—In this paper, we develop algorithms for the data aggregation problem which arises in the context of big-data applications that employ the MapReduce operation. For the case when source racks can send their data to the aggregator using multiple paths, we show that an aggregation tree topology that minimizes aggregation time can be constructed in polynomial… (More)

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