Three Kirchhoffian Indices of the Cactus Graphs

Three Kirchhoffian Indices of the Cactus Graphs

Year:    2018

Author:    Ailian Chen, Minyin Yang

Annals of Applied Mathematics, Vol. 34 (2018), Iss. 3 : pp. 244–262

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2018-AAM-20575

Annals of Applied Mathematics, Vol. 34 (2018), Iss. 3 : pp. 244–262

Published online:    2018-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:    polyphenyl chain cactus graph Kirchhoff index multiplicative degree-Kirchhoff index additive degree-Kirchhoff index.

Author Details

Ailian Chen

Minyin Yang