Resilience measures in christmas trees.

The graph theoretical approach depends on diameter stability and connectivity is the simplified process to evaluate network resilience. In the recent years much awareness is focused on connectivity, wide diameter, Rabin number, and fault diameter which acts as the crucial criterion to estimate efficiency and fault tolerance of a given network. At present, we are focused in small-diameter and high-connectivity networks. Finding the diameter of a communication network in the existence of faulty nodes is a key measure of its resilience. In this manuscript, the wide diameter, Rabin number, and fault diameter of Christmas tree CT (s), s≥ 4 are obtained. [ABSTRACT FROM AUTHOR]