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Gossip in random networks

K. Malarz·Z. Szvetelszky·B. Szekfu·K. Kulakowski
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Abstract

We consider the average probability X of being informed on a gossip in a given social network. The network is modeled within the random graph theory of Erdos and Renyi. In this theory, a network is characterized by two parameters: the size N and the link probability p. Our experimental data suggest three levels of social inclusion of friendship. The critical value p_c, for which half of agents are informed, scales with the system size as N^{-γ} with γ\approx 0.68. Computer simulations show that the probability X varies with p as a sigmoidal curve. Influence of the correlations between neighbors is also evaluated: with increasing clustering coefficient C, X decreases.

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K. Malarz, Z. Szvetelszky, B. Szekfu, K. Kulakowski. 2006-08-10. Gossip in random networks. https://arxiv.org/abs/physics/0601158

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