Conditional Strong Matching Preclusion of the Alternating Group Graph
Mohamad Abdallah, Eddie Cheng · Theory and Applications of Graphs · 2019
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. Park and Ihm introduced the problem of strong matching preclusion under the condition that no isolated vertex is created as a result of faults. In this paper, we find the conditional strong matching preclusion number for the $n$-dimensional alternating group graph $AG_n$.