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Table 1.

Summary of studies on centrality measures and critical node detection, highlighting network types, temporal aspects, epidemic models, and whether the measures are local or global.

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Table 2.

Number of nodes (N), total active time based on time steps of 20s (T), number of temporal edges (E) and the total duration in terms of the total number of time steps.

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Fig 1.

A simple temporal network with edge labeled with time steps.

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Table 3.

TSCR value for all nodes in the network of Fig 1.

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Table 3 Expand

Fig 2.

Illustration of the temporal supracycle ratio (TSCR).

The most important nodes have lighter colour.

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Fig 3.

Illustration of important nodes using Temporal Semi-Local Integration (TSLI).

The most important nodes have lighter colour.

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Fig 4.

Illustration of important nodes using Temporal Semi-Local Centrality (TSLC).

The most important nodes have lighter colour.

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Fig 5.

(a–d) Epidemic spread after removing the top 1% critical nodes for isolation and then comparing the six measures in different networks.

(e–h) Epidemic spread in the network when the top 1% nodes are selected as initial spreaders or seeds in the different networks. The horizontal axis represents time, and the vertical axis indicates the extent of disease spread.

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Table 4.

The peak value of Ω with 95% C.I., after removing the top x fraction of critical nodes for isolation (). Here x represents the remaining fraction of critical nodes (). The results are compared across six different measures.

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Fig 6.

Comparison of Smax after removing critical nodes based on six measures in different dataset: (a) high-school, (b) conference, (c) hospital, (d) workplace.

The horizontal axis represents the fraction of removed nodes, ranging from 0.1 to 0.9, and the vertical axis indicates the size of the largest connected component after node removal.

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Fig 7.

The Pearson correlation coefficient between measures in different networks: (a) high-school, (b) conference, (c) hospital, (d) workplace.

‘U’ indicates undefined correlation.

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Fig 7 Expand

Table 5.

The pvalue between measures in different networks: (a) high-school, (b) conference, (c) workplace, (d) hospital. NaN indicates undefined correlation.

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Table 5 Expand