A k-container of a graph G is a set of k internally disjoint paths between two distinct vertices. A k-container of G is a $k^{⁎}$-container if it contains all vertices of G. Graph G is $k^{⁎}$-connected if there exists a $k^{⁎}$-container between any two distinct vertices. A k-connected graph G is super spanning connected if G is $k^{⁎}$-connected for every r with $1\le r\le k$. This study demonstrates that the split-star network $S_n^2$, $n\ge 4$, is super spanning connected based on a recent result on the alternating group graph $A{G}_n$.

中文翻译：

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星型网络的超跨越连接

甲ķ图的-container ģ是一组ķ两个不同的顶点之间在内部不相交路径。G的k容器是${ķ}^{⁎}$-容器，如果包含G的所有顶点。图G为${ķ}^{⁎}$-连接（如果存在） ${ķ}^{⁎}$-任何两个不同的顶点之间的容器。甲ķ -连通图G ^是超级跨越连接如果ģ是${ķ}^{⁎}$-连接每一个[R与$\mathrm{1个}\le \mathrm{[R}\le ķ$。这项研究表明，分裂星网络${\mathrm{小号}}_{ñ}^2$， $ñ\ge 4$，是根据交替组图上的最新结果进行超跨度连接的 $\mathrm{一种}{G}_{ñ}$。