On some generalized graphs related to cycle

Abstract

The generalized graphs related to cycle are defined by Scaria et al.[43]. Motivated by this, we define three new classes namely P(n, k, t), $Q(n, k, t) and S(n, k), obtain their adjacency spectrum and thus adding them to the classes of graphs whose spectrum is completely known. Further, we compute (a, b)-KA indices of some generalized graphs related to cycle.