Higher-Order Components Dictate Higher-Order Contagion Dynamics in Hypergraphs
Jung-Ho Kim1, K-I Goh1,2
1Department of Physics, Korea University, Seoul 02841, Korea.
Physical Review Letters
|March 8, 2024
Summary
The giant higher-order component (HOC) is essential for collective behavior in hypergraphs. Its presence is required for higher-order contagion to spread globally from a single seed.
Area of Science:
- Complex systems
- Network science
- Hypergraph theory
Background:
- Collective behavior in networks relies on a giant component.
- Hypergraphs possess higher-order components (HOCs), defined by shared nodes between hyperedges.
- The role of giant HOCs in hypergraph collective behavior remains unclear.
Purpose of the Study:
- To investigate the impact of the giant HOC on higher-order contagion dynamics.
- To determine if the giant HOC is necessary for global contagion spread in hypergraphs.
Main Methods:
- Analysis of higher-order contagion dynamics on real-world hypergraphs.
- Utilizing synthetic random hypergraphs with tunable giant HOCs.
- Analytical calculations of giant HOC properties.
Main Results:
- The giant HOC fundamentally alters contagion outbreak patterns.
- Global invasion of higher-order contagion requires the presence of the giant HOC.
- Findings confirmed using synthetic hypergraph models.
Conclusions:
- The giant HOC is a critical factor for collective behavior on hypergraphs.
- Understanding giant HOCs is crucial for modeling contagion and information spread in complex systems.
More Related Videos
Related Concept Videos
01:15Real-World Application of Classical Conditioning
556
Classical conditioning not only includes the initial pairing of stimuli but also extends to more complex forms, such as higher-order conditioning. Higher-order conditioning involves creating associations beyond the primary conditioned stimulus, resulting in a chain of conditioned responses.
Higher-order, or second-order, conditioning occurs when a neutral stimulus becomes associated with an already established conditioned stimulus through repeated pairings. For instance, if a dog has been...
Higher-order, or second-order, conditioning occurs when a neutral stimulus becomes associated with an already established conditioned stimulus through repeated pairings. For instance, if a dog has been...
556
02:12Relationship Formation
40.0K
What do you think is the single most influential factor in determining with whom you become friends and whom you form romantic relationships? You might be surprised to learn that the answer is simple: the people with whom you have the most contact. This most important factor is proximity. You are more likely to be friends with people you have regular contact with. For example, there are decades of research that shows that you are more likely to become friends with people who live in your dorm,...
40.0K
01:17Second-Order Circuits
1.4K
Integrating two fundamental energy storage elements in electrical circuits results in second-order circuits, encompassing RLC circuits and circuits with dual capacitors or inductors (RC and RL circuits). Second-order circuits are identified by second-order differential equations that link input and output signals.
Input signals typically originate from voltage or current sources, with the output often representing voltage across the capacitor and/or current through the inductor. For example, in...
Input signals typically originate from voltage or current sources, with the output often representing voltage across the capacitor and/or current through the inductor. For example, in...
1.4K
01:21Causality in Epidemiology
412
Causality or causation is a fundamental concept in epidemiology, vital for understanding the relationships between various factors and health outcomes. Despite its importance, there's no single, universally accepted definition of causality within the discipline. Drawing from a systematic review, causality in epidemiology encompasses several definitions, including production, necessary and sufficient, sufficient-component, counterfactual, and probabilistic models. Each has its strengths and...
412
01:25Neural Circuits
1.2K
Neural circuits and neuronal pools are two of the main structures found in the nervous system. Neural circuits are networks of neurons that work together to carry out a specific task or process. They consist of interconnected neurons and glial cells, which provide structural and metabolic support.
Neuronal pools are collections of nerve cells with similar functions and interact through chemical and electrical signals. These pools include both interneurons (the central neural circuit nodes that...
Neuronal pools are collections of nerve cells with similar functions and interact through chemical and electrical signals. These pools include both interneurons (the central neural circuit nodes that...
1.2K
01:14Circuit Terminology
1.5K
An electrical network is a system composed of interconnected elements, such as resistors, capacitors, inductors, and voltage or current sources. Unlike a circuit, an electrical network does not necessarily form a closed path. In other words, while all circuits can be considered networks due to their interconnected nature, not every network qualifies as a circuit.
A circuit, on the other hand, is also an interconnected system of electrical elements but must contain one or more closed paths.
A circuit, on the other hand, is also an interconnected system of electrical elements but must contain one or more closed paths.
1.5K