Total positive influence domination on weighted networks

Vukadinovic Greetham, Danica; Nathaniel, Charlton and Anush, Poghosyan (2019). Total positive influence domination on weighted networks. In: COMPLEX NETWORKS 2019: Complex Networks and Their Applications VIII, Springer, 881 pp. 325–336.



We are proposing two greedy and a new linear programming based approximation algorithm for the total positive influence dominat- ing set problem in weighted networks. Applications of this problem in weighted settings include finding: a minimum cost set of nodes to broad- cast 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. Ex- tensive experiments on different generated and real networks highlight advantages and potential issues for each algorithm.

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