Edge fault tolerance of super edge connectivity for three families of interconnection networks

Let G = (V, E) be a connected graph. G is said to be super edge connected (or super-λ for short) if every minimum edge cut of G isolates one of the vertex of G. A graph G is called m-super-λ if for any edge set S ⊆ E(G) with ∣S∣ ⩽ m, G − S is still super-λ. The maximum cardinality of m-super-λ is called the edge fault tolerance of super edge connectivity of G. In this paper, we discuss the edge fault tolerance of super edge connectivity of three families of interconnection networks.