Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present a novel distributed algorithm for counting all four-node induced subgraphs in a big graph. These counts, called the 4-profile, describe a graph's connectivity properties and have found several uses ranging from bioinformatics to spam detection.  also study the more complicated problem of estimating the local 4-profiles centered at each vertex of the graph. The local 4-profile embeds every vertex in an 11-dimensional space that characterizes the local geometry of its neighborhood: vertices that connect different clusters will have different local 4-profiles compared to those that are only part of one dense cluster.#R##N##R##N#Our algorithm is a local, distributed message-passing scheme on the graph and computes all the local 4-profiles in parallel.  rely on two novel theoretical contributions:  show that local 4-profiles can be calculated using compressed two-hop information and also establish novel concentration results that show that graphs can be substantially sparsified and still retain good approximation quality for the global 4-profile.#R##N##R##N# empirically evaluate our algorithm using a distributed GraphLab implementation that  scaled up to 640 cores.  show that our algorithm can compute global and local 4-profiles of graphs with millions of edges in a few minutes, significantly improving upon the previous state of the art.
['Ethan R. Elenberg', 'Karthikeyan Shanmugam', 'Michael Borokhovich', 'Alexandros G. Dimakis']
I am writing a research paper on a idea Distributed Estimation of Graph 4-Profiles
[{"from": "human", "value": "I am writing a research paper on a idea Distributed Estimation of Graph 4-Profiles"}, {"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 novel distributed algorithm for counting all four-node induced subgraphs in a big graph. These counts, called the 4-profile, describe a graph's connectivity properties and have found several uses ranging from bioinformatics to spam detection.  also study the more complicated problem of estimating the local 4-profiles centered at each vertex of the graph. The local 4-profile embeds every vertex in an 11-dimensional space that characterizes the local geometry of its neighborhood: vertices that connect different clusters will have different local 4-profiles compared to those that are only part of one dense cluster.#R##N##R##N#Our algorithm is a local, distributed message-passing scheme on the graph and computes all the local 4-profiles in parallel.  rely on two novel theoretical contributions:  show that local 4-profiles can be calculated using compressed two-hop information and also establish novel concentration results that show that graphs can be substantially sparsified and still retain good approximation quality for the global 4-profile.#R##N##R##N# empirically evaluate our algorithm using a distributed GraphLab implementation that  scaled up to 640 cores.  show that our algorithm can compute global and local 4-profiles of graphs with millions of edges in a few minutes, significantly improving upon the previous state of the art."}]