Complex adjacency matrix and energy of digraphs

What is it about?

We give a new notion of energy of digraphs and call it the iota energy of the digraphs. It is shown that the Coulson’s integral formula remains valid for iota energy. We also find the unicyclic digraphs with extremal iota energies among the class of unicyclic digraphs with a fixed order

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Why is it important?

In this paper, a new concept of energy of digraphs is introduced.