Paper#Graph Theory, Non-equilibrium Systems, Resource Allocation🔬 ResearchAnalyzed: Jan 3, 2026 19:31
Switching Transition in Resource Exchange on Graphs
Published:Dec 28, 2025 08:42
•1 min read
•ArXiv
Analysis
This paper investigates a non-equilibrium system where resources are exchanged between nodes on a graph and an external reserve. The key finding is a sharp, switch-like transition between a token-saturated and an empty state, influenced by the graph's topology. This is relevant to understanding resource allocation and dynamics in complex systems.
Key Takeaways
- •The model explores resource exchange dynamics on different graph topologies.
- •A sharp transition between resource-rich and resource-poor states is observed.
- •The critical threshold for the transition depends on the graph structure.
Reference
“The system exhibits a sharp, switch-like transition between a token-saturated state and an empty state.”