The Quasi-Wiener and the Kirchhoff Indices Coincide

@article{Gutman1996TheQA,
  title={The Quasi-Wiener and the Kirchhoff Indices Coincide},
  author={Ivan Gutman and Bojan Mohar},
  journal={Journal of Chemical Information and Computer Sciences},
  year={1996},
  volume={36},
  pages={982-985}
}
In 1993 two novel distance-based topological indices were put forward. In the case of acyclic molecular graphs both are equal to the Wiener index, but both differ from it if the graphs contain cycles. One index is defined (Mohar, B.; Babic ́, D.; Trinajstić, N. J. Chem. Inf. Comput . Sci. 1993, 33, 153-154) in terms of eigenvalues of the Laplacian matrix, whereas the other is conceived (Klein, D. J.; Randic ́, M. J. Math. Chem. 1993, 12, 81-95) as the sum of resistances between all pairs of… CONTINUE READING
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