Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Using spectral graph theory and especially its graph comparison techniques,  propose new methodologies to allocate coupling strengths to guarantee global complete synchronization in complex networks. The key step is that all the eigenvalues of the Laplacian matrix associated with a given network can be estimated by utilizing flexibly topological features of the network. The proposed methodologies enable the construction of different coupling-strength combinations in response to different knowledge about subnetworks. Adaptive allocation strategies can be carried out as ll using only local network topological information. Besides formal analysis,  use simulation examples to demonstrate how to apply the methodologies to typical complex networks.
['Hui Liu', 'Ming Cao', 'Chai Wah Wu']
I am writing a research paper on a idea Coupling Strength Allocation for Synchronization in Complex Networks Using Spectral Graph Theory
[{"from": "human", "value": "I am writing a research paper on a idea Coupling Strength Allocation for Synchronization in Complex Networks Using Spectral Graph Theory"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Using spectral graph theory and especially its graph comparison techniques,  propose new methodologies to allocate coupling strengths to guarantee global complete synchronization in complex networks. The key step is that all the eigenvalues of the Laplacian matrix associated with a given network can be estimated by utilizing flexibly topological features of the network. The proposed methodologies enable the construction of different coupling-strength combinations in response to different knowledge about subnetworks. Adaptive allocation strategies can be carried out as ll using only local network topological information. Besides formal analysis,  use simulation examples to demonstrate how to apply the methodologies to typical complex networks."}]