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arXiv · 1604.07661

Total positive influence domination on weighted networks

Danica Vukadinović Greetham·Nathaniel Charlton·Anush Poghosyan
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Abstract

We are proposing two greedy and a new linear programming based approximation algorithm for the total positive influence dominating set problem in weighted networks. Applications of this problem in weighted settings include finding: a minimum cost set of nodes to broadcast a message in social networks, such that each node has majority of neighbours broadcasting that message; a maximum trusted set in bitcoin network; an optimal set of hosts when running distributed apps etc. Extensive experiments on different generated and real networks highlight advantages and potential issues for each algorithm.

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Danica Vukadinović Greetham, Nathaniel Charlton, Anush Poghosyan. 2016-04-26. Total positive influence domination on weighted networks. https://arxiv.org/abs/1604.07661

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