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THREE KIRCHHOFFIAN INDICES OF THE CACTUS GRAPHS
Ailian Chen,Minyin Yang
(College of Math. and Computer Science, Fuzhou University, Fuzhou 350116, Fujian, PR China)
DOI:
Abstract:
In this paper we give six explicit formulae to compute the Kirchhoff index, the multiplicative degree-Kirchhoff index and the additive degree-Kirchhoff index of the $k$-cactus chain and the cactus graph which can be obtained from a $k$-cactus chain by expanding each of the cut-vertices to a cut edge.
Key words:  polyphenyl chain; cactus graph; Kirchhoff index; multiplicative degree-Kirchhoff index; additive degree-Kirchhoff index