Super spanning connectivity of split-star networks

A k-container of a graph G is a set of k internally disjoint paths between two distinct vertices. A k-container of Gis a k*-container if it contains all vertices of G. Graph Gis k*-connected if there exists a k*-container between any two distinct vertices. A k*-connected graph Gis super spanning connected if Gis k*-connected for every r with 1 <= r <= k. This study demonstrates that the split-star network S-n(2), n >= 4, is super spanning connected based on a recent result on the alternating group graph AG(n). (C) 2020 Elsevier B.V. All rights reserved.