Strong matching preclusion for augmented cubes
The strong matching preclusion number of a graph is the minimum number of vertices and edges whose deletion results in a graph that has neither perfect matchings nor almost perfect matchings. The concept was introduced by Park and Son. In this paper, we study the strong matching preclusion problem for the augmented cube graphs. As a result, we find smp(AQ(n)) and classify all optimal solutions. (C) 2013 Elsevier B.V. All rights reserved.
augmented cubes perfect matching interconnection networks