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

Gang Ma, Jianfeng Wang, Guang Li +1

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