352 research outputs found
Information Spreading on Almost Torus Networks
Epidemic modeling has been extensively used in the last years in the field of
telecommunications and computer networks. We consider the popular
Susceptible-Infected-Susceptible spreading model as the metric for information
spreading. In this work, we analyze information spreading on a particular class
of networks denoted almost torus networks and over the lattice which can be
considered as the limit when the torus length goes to infinity. Almost torus
networks consist on the torus network topology where some nodes or edges have
been removed. We find explicit expressions for the characteristic polynomial of
these graphs and tight lower bounds for its computation. These expressions
allow us to estimate their spectral radius and thus how the information spreads
on these networks
Defensive Resource Allocation in Social Networks
In this work, we are interested on the analysis of competing marketing
campaigns between an incumbent who dominates the market and a challenger who
wants to enter the market. We are interested in (a) the simultaneous decision
of how many resources to allocate to their potential customers to advertise
their products for both marketing campaigns, and (b) the optimal allocation on
the situation in which the incumbent knows the entrance of the challenger and
thus can predict its response. Applying results from game theory, we
characterize these optimal strategic resource allocations for the voter model
of social networks.Comment: arXiv admin note: text overlap with arXiv:1402.538
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