On the Existence of a Stable Complementing Permutation in a \(t-sc\) Graph

The class of \(t-sc\) graphs constitutes a new generalization of self-complementary graphs. Many \(t-sc\) graphs exhibit a stable complementing permutation. In this paper, we prove a sufficient condition for the existence of a stable complementing permutation in a \(t-sc\) graph. We also construct several infinite classes of \(t-sc\) graphs to show the stringency of our sufficient condition.