Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   investigate some of the computational aspects of generic properties of linear structured systems. In such systems only the zero/nonzero pattern of the system matrices is assumed to be known. For structured systems a number of characterizations of so-called generic properties have been obtained in the literature. The characterizations often have been presented by means of the graph associated to a linear structured system and are then expressed in terms of the maximal or minimal number of certain type of vertices contained in a combination of specific paths.   give new graph theoretic characterizations of structural invariants of structured systems. It turns out that these new characterizations allow to compute these invariants via standard and efficient algorithms from combinatorial optimization.
['Christian Commault', 'Jean-Michel Dion', 'Jacob van der Woude']
I am writing a research paper on a idea CHARACTERIZATION OF GENERIC PROPERTIES OF LINEAR STRUCTURED SYSTEMS FOR EFFICIENT COMPUTATIONS
[{"from": "human", "value": "I am writing a research paper on a idea CHARACTERIZATION OF GENERIC PROPERTIES OF LINEAR STRUCTURED SYSTEMS FOR EFFICIENT COMPUTATIONS"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   investigate some of the computational aspects of generic properties of linear structured systems. In such systems only the zero/nonzero pattern of the system matrices is assumed to be known. For structured systems a number of characterizations of so-called generic properties have been obtained in the literature. The characterizations often have been presented by means of the graph associated to a linear structured system and are then expressed in terms of the maximal or minimal number of certain type of vertices contained in a combination of specific paths.   give new graph theoretic characterizations of structural invariants of structured systems. It turns out that these new characterizations allow to compute these invariants via standard and efficient algorithms from combinatorial optimization."}]