On $\ell$-distance-balancedness of cubic Cayley graphs of dihedral groups

Gang Ma, Jianfeng Wang, Guang Li +1

A connected graph $\Gamma$ of diameter $\mathrm{diam}(\Gamma )\ge \ell$ is $\ell$-distance-balanced if $|W_{xy}(\Gamma )|=|W_{yx}(\Gamma )|$ for every $x,y\in V(\Gamma )$ with $d_{\Gamma }(x,y)=\ell$, where $W_{xy}(\Gamma )$…