# A 1-separation formula for the graph Kemeny constant and Braess edges

@article{Faught2021A1F, title={A 1-separation formula for the graph Kemeny constant and Braess edges}, author={Nolan Faught and Mark Kempton and Adam Knudson}, journal={Journal of Mathematical Chemistry}, year={2021}, pages={1 - 21} }

Kemeny’s constant of a simple connected graph G is the expected length of a random walk from i to any given vertex j≠i\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$j \ne i$$\end{document}. We provide a simple method for computing Kemeny’s constant for 1-separable graphs via effective resistance methods from… Expand

#### One Citation

Partially ordering weighted trees using discrete Green's functions

- Mathematics
- 2021

In this paper, we consider the edge transfer operation for which we remove an edge incident to a vertex and connect one of its neighbors to the other endpoint of this removed edge. We show that if an… Expand

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