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Fig 1.

Single-layer network and multi-layer network.

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Fig 2.

The collaboration network of 35 organizations.

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Table 1.

Examples of organizations in each infrastructure system.

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Fig 3.

A multilayer network of five interdependent infrastructure systems.

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Fig 3 Expand

Table 2.

Converted daily coordination probabilities between organizations.

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Fig 4.

Histograms of generated samples at each frequency level.

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Fig 5.

Coordination increase simulation to calculate required coordination probability.

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Fig 6.

The multilayer collaboration network of 35 organizations.

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Table 3.

Nodes and links in each layer of the mapped meta-network.

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Table 3 Expand

Fig 7.

Network efficiency and coefficient of variation with different daily coordination probabilites.

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Table 4.

Network efficiency under intra-layer link perturbation.

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Table 5.

Maximum network efficiency within IISs.

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Table 6.

Network efficiency under inter-layer link perturbation.

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Table 7.

Maximum network efficiency across IISs.

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Table 8.

Required coordination probability within infrastructure systems.

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Table 8 Expand

Table 9.

Required coordination probability across infrastructure systems.

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Fig 8.

Required coordination probability and maximum network efficiency.

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