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Given a graph G = (V, E), a node is called perfect (with respect to a set S ⊆ V) if its closed neighborhood contains exactly one node in set S, a node is called nearly perfect if it is not perfect but is adjacent to a perfect node. S is called a perfect neighborhood set if each node is either perfect or nearly perfect. We present the first self-stabilizing algorithm for computing a perfect neighborhood...
Selection of Influential Users is an essential task in influence propagation schemes in social networks. Considering the phenomenon of asymmetric influences between neigh boring users and different sensitivities of users to influences, we propose to select the users in the minimal weighted positive influence dominating set of a social network graph as the influential users to maximize the speed of...
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