摘要

A restricted edge cut of a graph X is an edge set whose removal disconnects X into nontrivial components. The cardinality of the minimum restricted edge cut is the restricted edge connectivity, denoted by lambda '(X). If X has restricted edge cuts and lambda '(X) achieves the upper bound of the restricted edge connectivity, X is said to be lambda'-optimal. In this work, we will prove that for all but a few exceptions, the mixed Cayley graph is lambda'-optimal.