IOTA ENERGY OF WEIGHTED DIGRAPHS

The eigenvalues of a digraph are the eigenvalues of its adjacency matrix. the iota energyof a digraph is recently dened as the sum of absolute values of imaginary part of its eigenvalues. inthis paper, we extend the concept of iota energy of digraphs to weighted digraphs. we compute the iotaenergy formulae for the positive and negative weight directed cycles. we also characterize the unicyclicweighted digraphs with cycle weight r ∈ [-1, 1]{0} having minimum and maximum iota energy. weobtain well known mcclelland upper bound for the iota energy of weighted digraphs. finally, we ndthe class of noncospectral equienergetic weighted digraphs.