Kirchhoff index of periodic linear chains
Rights accessOpen Access
A periodic linear chain consists of a weighted 2n -path where new edges have been added following a certain periodicity. In this paper, we obtain the effective resistance and the Kirchhoff index of a periodic linear chain as non trivial functions of the corresponding expressions for the path. We compute the expression of the Kirchhoff index of any homogeneous and periodic linear chain which generalizes the previously known results for ladder-like and hexagonal chains, that correspond to periods one and two respectively
CitationCarmona, A., Encinas, A., Mitjana, M. Kirchhoff index of periodic linear chains. "Journal of mathematical chemistry", Febrer 2015, vol. 53, núm. 5, p. 1195-1206.