Multilayer Networks: Interconnected Systems Across Domains
Key Characteristics of Multilayer Networks:
- In social networks, one layer might represent friendships, while another represents professional connections.
- In transportation networks, one layer might represent railways, and another might represent roadways.
- A city in a transportation network might have connections between its railway and highway systems.
- A person in a social network could have overlapping roles in personal and professional contexts.
1. Biological Systems:
- Genomics: Layers might represent protein interactions, gene regulation, and metabolic pathways.
- Neuroscience: Different layers can capture functional, structural, and chemical connectivity in the brain.
- Layers could represent different types of relationships, such as family ties, friendships, and professional connections.
- Multilayer modeling helps understand phenomena like information spreading or the impact of multi-role interactions.
- In transportation, layers can model different modes of transport (air, rail, road) and their interconnections.
- Analyzing such networks helps optimize travel routes and manage dependencies during disruptions.
- Multilayer networks are used to study financial systems, where layers represent various types of transactions (e.g., banking, trade agreements).
- They help identify systemic risks or optimize resource allocation.
- In ecosystems, layers can capture interactions such as predation, competition, and mutualism.
- This aids in understanding biodiversity and ecosystem stability.
- Capturing Complexity: They provide a more comprehensive understanding of systems with diverse interactions.
- Modeling Dependencies: By incorporating cross-layer relationships, they can reveal how changes in one layer impact others.
- Enhanced Insights: Multilayer networks enable analysis that would be impossible or incomplete using single-layer approaches.
Multiple Layers: Each layer in the network represents a different type of relationship or interaction. For example:
Interconnections Between Layers: Nodes (entities) may have links to nodes in other layers, representing cross-layer dependencies. For instance:
Shared Nodes Across Layers: Many multilayer networks involve the same set of nodes across different layers, although their relationships vary depending on the layer.
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