Asymptotic spectral distributions of distance $k$-graphs of star product graphs

Octavio Arizmendi, Tulio Gaxiola

Let $G$ be a finite connected graph and let $G^{[\star N,k]}$ be the distance $k$-graph of the $N$-fold star power of $G$. For a fixed $k\ge 1$, we show that the large $N$ limit of…