Rupture degree and weak rupture degree of gear graphs
V. Sheeba Agnes, R. Geethanjaliyadav · Filomat · 2024
In a communication network, several vulnerability measures are used to determine the resistance of the network to distruption of operation after the failure of certain stations or communication links. If we consider a graph as a model of a communication network, the rupture degree and weak rupture degree of a graph are the measures of graph vulnerability. In this paper, we determine the exact values of the rupture degree of Gn, where n ? 4, and Gm?Gn, where m, n ? 4 and weak rupture degree of Gn, where n ? 4, ?Gn, where n ? 4, L(Gn) where n ? 4, K2?Gn, where n ? 4 and Gn?Gm, where n,m ? 4.