Extremal k-uniform hypertrees on incidence energy

For a k-uniform hypergraph H = (V(H), E(H)), let B(H) be its incidence matrix, Q(H) = B(H)B(H)(T) be its signless Laplacian matrix. Let S(H) be the subdivision graph of H and A(S) be its adjacent matrix. For a matrix M, its energy E(M) is the sum of its singular values. The incidence energy BE(H) of H is the energy of B(H). In this article, we obtain some transformations on incidence energy, as their applications, the lower and upper bounds on BE(H) for hypertrees are obtained, at the same time, their corresponding extremal hypergraphs are characterized.