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Fig 1.

The initial polarity distributions for (a) sources (in red) and (b) users (in blue).

The plots report how many sources/users (y axis) have a given polarity value (x axis).

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Fig 1 Expand

Fig 2.

The initial structure configuration for the (a) audience and (b) social networks.

Node color is proportional to their polarity (from blue equal to −1 to red equal to +1, passing via white equal to 0).

In the audience network, sources are triangles, while users are circles in both figures. Node size is proportional to the degree. Edge size and transparency is proportional to edge betweenness.

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Fig 2 Expand

Fig 3.

The steps of the model.

The shape of the nodes indicates the type (square = news source, circle = user). Colors encode polarity (red = positive, blue = negative). Arrows show news items (triangular head) and flags (square head). Deleted connections in purple slashes, new connections (or connections with increased weight) in green. (a) Initial condition. (b) Sources publish their items. (c) Users reshare and flag. (d) Update user polarity. (e) Update source polarity. (f) Rewire audience network. (g) Rewire social network. (h) Step completed.

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Fig 3 Expand

Table 1.

The full set of parameter values for all parameters of the model that we test in the paper.

We have tested all combinations of these parameters, although some results are omitted for clarity. (ρ: Reshareability; ϕ: Tolerance; γ: Integrity; σ: Volatility).

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Table 2.

The Pearson correlation values for the best (top) and worst (bottom) parameter configurations in the model (higher value is better).

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Table 2 Expand

Fig 4.

Effect of ρ on user (a-c) and source (d-f) polarity distributions, and (g-i) on the social network.

The pale distribution in the background is the original one. Other parameters fixed at: ϕ = 0.1, γ = 0, σ = 2/3. The nodes in the network are colored proportionally to their polarity from −1 (blue) to +1 (red) passing via 0 (white). (a) ρ = 0.06 (b) ρ = 0.07 (c) ρ = 0.08 (d) ρ = 0.06 (e) ρ = 0.07 (f) ρ = 0.08 (g) ρ = 0.06 (h) ρ = 0.07 (i) ρ = 0.08.

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Fig 4 Expand

Fig 5.

Effect of ϕ on user (a-c) and source (d-f) polarity distributions, and (g-i) on the social network.

The pale distribution in the background is the original one. Other parameters fixed at: ρ = 0.08, γ = 0, σ = 2/3. The nodes in the network are colored proportionally to their polarity from −1 (blue) to + 1 (red) passing via 0 (white). (a) ϕ = 0.1 (b) ϕ = 0.2 (c) ϕ = 0.3 (d) ϕ = 0.1 (e) ϕ = 0.2 (f) ϕ = 0.3 (g) ϕ = 0.1 (h) ϕ = 0.2 (i) ϕ = 0.3.

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Fig 5 Expand

Fig 6.

Effect of γ on user (a-c) and source (d-f) polarity distributions, and (g-i) on the social network.

The pale distribution in the background is the original one. Other parameters fixed at: ρ = 0.08, ϕ = 0.1, σ = 2/3. The nodes in the network are colored proportionally to their polarity from −1 (blue) to +1 (red) passing via 0 (white). (a) γ = 0.0 (b) γ = 0.1 (c) γ = 0.2 (d) γ = 0.0 (e) γ = 0.1 (f) γ = 0.2 (g) γ = 0.0 (h) γ = 0.1 (i) γ = 0.2.

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Fig 6 Expand

Fig 7.

Effect of σ on user (a-c) and source (d-f) polarity distributions, and (g-i) on the social network.

The pale distribution in the background is the original one. Other parameters fixed at: ρ = 0.08, ϕ = 0.1, γ = 0. The nodes in the network are colored proportionally to their polarity from −1 (blue) to + 1 (red) passing via 0 (white). (a) σ = 1 (b) σ = 0.66 (c) σ = 0.5 (d) σ = 1 (e) σ = 0.66 (f) σ = 0.5 (g) σ = 1 (h) σ = 0.66 (i) σ = 0.5.

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Fig 7 Expand

Fig 8.

The user polarity distributions when co-varying ϕ and σ.

In the figures above, the values of ϕ are 0.1, 0.3, 0.5 (low, medium, high); the values of σ are 0.1, 0.5, 1 (low, medium, high); while we keep ρ = 0.08 and γ = 0. (a) Low ϕ − High σ (b) Medium ϕ − High σ (c) High ϕ − High σ (d) Low ϕ − Medium σ (e) Medium ϕ − Medium σ (f) High ϕ − Medium σ (g) Low ϕ − Low σ (h) Medium ϕ − Low σ (i) High ϕ − Low σ.

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Fig 9.

Standard deviations of the sources (red) and users (blue) polarity distributions when co-varying ρ and γ.

In the figures above, the values of ρ are 0.06, 0.08, 0.1 (low, medium, high); the values of γ are 0, 0.2, 0.4 (low, medium, high); while we keep ϕ = 0.1 and σ = 0.66. (a) Low ρ − Low γ (b) Medium ρ − Low γ (c) High ρ − Low γ (d) Low ρ − Medium γ (e) Medium ρ − Medium γ (f) High ρ − Medium γ (g) Low ρ − High γ (h) Medium ρ − High γ (i) High ρ − High γ.

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Fig 10.

The user polarity distributions when co-varying ϕ and ρ.

In the figures above, the values of ϕ are 0.1, 0.3, 0.5 (low, medium, high); the values of ρ are 0.06, 0.08, 0.1 (low, medium, high); while we keep σ = 0.66 and γ = 0. (a) Low ϕ − High ρ (b) Medium ϕ − High ρ (c) High ϕ − High ρ (d) Low ϕ − Medium ρ (e) Medium ϕ − Medium ρ (f) High ϕ − Medium ρ (g) Low ϕ − Low ρ (h) Medium ϕ − Low ρ (i) High ϕ − Low ρ.

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Fig 10 Expand