Switching Transition in Resource Exchange on Graphs

Paper #Graph Theory, Non-equilibrium Systems, Resource Allocation 🔬 Research|Analyzed: Jan 3, 2026 19:31•

Published: Dec 28, 2025 08:42

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1 min read

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 / Citation

"The system exhibits a sharp, switch-like transition between a token-saturated state and an empty state."

A

ArXivDec 28, 2025 08:42

* Cited for critical analysis under Article 32.

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