Computing the Resistance Distance Matrix

S. Nikolic N. Trinajstic and I. Lukovits
R. Boskovic Institute, Bijenicka 54, Zagreb, Croatia.
Chemical Research Center, Hungarian Academy of Sciences, Budapest

 
 A novel algorithm for computing the resistance distance matrix  is presented.  An electrical network is depicted by a graph in which the edges represent units resistor and vertices correspond to junctions in the network. The computation  is based on the Laplacian matrix of a graph and auxiliary matrices.  The resistance distance matrix is used, for example, to generate the
 Kirchhoff index for characterizing electrical networks