Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present a framework to cluster nodes in directed networks according to their roles by combining Role-Based Similarity (RBS) and Markov Stability, two techniques based on flows. First  compute the RBS matrix, which contains the pairwise similarities beten nodes according to the scaled number of in- and out-directed paths of different lengths. The ighted RBS similarity matrix is then transformed into an undirected similarity network using the Relaxed Minimum-Spanning Tree (RMST) algorithm, which uses the geometric structure of the RBS matrix to unblur the network, such that edges beten nodes with high, direct RBS are preserved. Finally,  partition the RMST similarity network into role-communities of nodes at all scales using Markov Stability to find a robust set of roles in the network.  showcase our framework through a biological and a man-made network.
['Mariano Beguerisse-Díaz', 'Borislav Vangelov', 'Mauricio Barahona']
I am writing a research paper on a idea Finding role communities in directed networks using Role-Based Similarity, Markov Stability and the Relaxed Minimum Spanning Tree
[{"from": "human", "value": "I am writing a research paper on a idea Finding role communities in directed networks using Role-Based Similarity, Markov Stability and the Relaxed Minimum Spanning Tree"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present a framework to cluster nodes in directed networks according to their roles by combining Role-Based Similarity (RBS) and Markov Stability, two techniques based on flows. First  compute the RBS matrix, which contains the pairwise similarities beten nodes according to the scaled number of in- and out-directed paths of different lengths. The ighted RBS similarity matrix is then transformed into an undirected similarity network using the Relaxed Minimum-Spanning Tree (RMST) algorithm, which uses the geometric structure of the RBS matrix to unblur the network, such that edges beten nodes with high, direct RBS are preserved. Finally,  partition the RMST similarity network into role-communities of nodes at all scales using Markov Stability to find a robust set of roles in the network.  showcase our framework through a biological and a man-made network."}]