On fault tolerance of (n,k)-star networks

Fault tolerance of an $(n,k)$-star network is measured by its $h$-super connectivity $κ_s^{(h)}$ or $h$-super edge-connectivity $λ_s^{(h)}$. Li {\it et al.} [Appl. Math. Comput. 248 (2014), 525-530; Math. Sci. Lett. 1 (2012), 133-138] determined $κ_s^{(h)}$ and $λ_s^{(h)}$ for $0\leq h\leq n-k$. This paper determines $κ_s^{(h)}=λ_s^{(h)}=\frac{(h+1)!(n-h-1)}{(n-k)!}$ for $n-k\leq h \leq n-2$.

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