Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  give an inequality on the inertia of Hermitian matrices with some symmetry and discuss algebraic conditions for equality. The basic results also have various applications in the theories of graph decompositions, graph embeddings, and block designs.
['Masanori Sawa']
I am writing a research paper on a idea On a symmetric representation of Hermitian matrices and its applications to graph theory
[{"from": "human", "value": "I am writing a research paper on a idea On a symmetric representation of Hermitian matrices and its applications to 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:  give an inequality on the inertia of Hermitian matrices with some symmetry and discuss algebraic conditions for equality. The basic results also have various applications in the theories of graph decompositions, graph embeddings, and block designs."}]