Iranian Journal of Mathematical Chemistry, vol.13, no.3, pp.175-185, 2022 (Scopus)
The Kirchhoff energy and Kirchhoff Laplacian energy for Kirchhoff matrix are examined in this paper. The Kirchhoff index with Kirchhoff Laplacian eigenvalues is defined and different inequalities including the distances, the vertices and the edges are obtained. Indeed, some bounds for the degree Kirchhoff index associated with its eigenvalues are found