Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Several invariants of polarized metrized graphs and their applications in Arithmetic Geometry are studied recently. ,  give fast algorithms to compute these invariants by expressing them in terms of the discrete Laplacian matrix and its pseudo inverse. Algorithms  give can be used for both symbolic and numerical computations.  present various examples to illustrate the implementation of these algorithms.
['Zubeyir Cinkir']
I am writing a research paper on a idea Computation of polarized metrized graph invariants by using discrete Laplacian matrix
[{"from": "human", "value": "I am writing a research paper on a idea Computation of polarized metrized graph invariants by using discrete Laplacian matrix"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Several invariants of polarized metrized graphs and their applications in Arithmetic Geometry are studied recently. ,  give fast algorithms to compute these invariants by expressing them in terms of the discrete Laplacian matrix and its pseudo inverse. Algorithms  give can be used for both symbolic and numerical computations.  present various examples to illustrate the implementation of these algorithms."}]