Fast Gossiping by Short Messages
SIAM Journal on Computing
Size bounds for dynamic monopolies
Discrete Applied Mathematics
Mining the network value of customers
Proceedings of the seventh ACM SIGKDD international conference on Knowledge discovery and data mining
Local majorities, coalitions and monopolies in graphs: a review
Theoretical Computer Science
ICCI '92 Proceedings of the Fourth International Conference on Computing and Information: Computing and Information
The power of small coalitions in graphs
Discrete Applied Mathematics
Maximizing the spread of influence through a social network
Proceedings of the ninth ACM SIGKDD international conference on Knowledge discovery and data mining
On time versus size for monotone dynamic monopolies in regular topologies
Journal of Discrete Algorithms
On the Approximability of Influence in Social Networks
SIAM Journal on Discrete Mathematics
Networks, Crowds, and Markets: Reasoning About a Highly Connected World
Networks, Crowds, and Markets: Reasoning About a Highly Connected World
Dynamic monopolies with randomized starting configuration
Theoretical Computer Science
Dynamic Monopolies in Colored Tori
IPDPSW '11 Proceedings of the 2011 IEEE International Symposium on Parallel and Distributed Processing Workshops and PhD Forum
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We consider the following multi---level opinion spreading model on networks. Initially, each node gets a weight from the set {0,…,k−1}, where such a weight stands for the individuals conviction of a new idea or product. Then, by proceeding to rounds, each node updates its weight according to the weights of its neighbors. We are interested in the initial assignments of weights leading each node to get the value k−1 ---e.g. unanimous maximum level acceptance--- within a given number of rounds. We determine lower bounds on the sum of the initial weights of the nodes under the irreversible simple majority rules, where a node increases its weight if and only if the majority of its neighbors have a weight that is higher than its own one. Moreover, we provide constructive tight upper bounds for some class of regular topologies: rings, tori, and cliques.