On second Hermitian-Zagreb matrix and Hermitian-Zagreb energy.

A mixed graph is a special kind of graph which arises as a consequence of integration of both undirected and directed graphs into one unit. In this paper, we introduce a Hermitian matrix for mixed graphs in the form of a modified classical adjacency matrix based on the second Zagreb index and also establish some results. Futher, we obtain some novel results in relation to Hermitian second Zagreb energy of a mixed graph. [ABSTRACT FROM AUTHOR]