Volume 34, Issue 3
Three Kirchhoffian Indices of the Cactus Graphs

Ailian Chen & Minyin Yang

Ann. Appl. Math., 34 (2018), pp. 244-262.

Published online: 2022-06

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  • 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.

  • AMS Subject Headings

05C12

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COPYRIGHT: © Global Science Press

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@Article{AAM-34-244, author = {Chen , Ailian and Yang , Minyin}, title = {Three Kirchhoffian Indices of the Cactus Graphs}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {34}, number = {3}, pages = {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.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20575.html} }
TY - JOUR T1 - Three Kirchhoffian Indices of the Cactus Graphs AU - Chen , Ailian AU - Yang , Minyin JO - Annals of Applied Mathematics VL - 3 SP - 244 EP - 262 PY - 2022 DA - 2022/06 SN - 34 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20575.html KW - polyphenyl chain, cactus graph, Kirchhoff index, multiplicative degree-Kirchhoff index, additive degree-Kirchhoff index. AB -

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.

Chen , Ailian and Yang , Minyin. (2022). Three Kirchhoffian Indices of the Cactus Graphs. Annals of Applied Mathematics. 34 (3). 244-262. doi:
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