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arXiv · 2007.07348

Kemeny's constant and the Kirchhoff index for the cluster of highly symmetric graphs

Jose Palacios·Greg Markowsky
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Abstract

We find closed form formulas for the Kemeny's constant and the Kirchhoff index for the cluster $G_1\{G_2\}$ of two highly symmetric graphs $G_1$, $G_2$, in terms of the parameters of the original graphs. We also discuss some necessary conditions for a graph to be highly symmetric.

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Jose Palacios, Greg Markowsky. 2020-07-14. Kemeny's constant and the Kirchhoff index for the cluster of highly symmetric graphs. https://arxiv.org/abs/2007.07348

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