On The Spectrum of a New Class of Graphs

Abstract

The pineapple graph KKnn is a graph of the form KKnn (complete graph of order nn) with ′tt′ pendant edge attached to any one vertex of KKnn. In this paper, we determined the adjacency Laplacian and signless Laplacian spectrum of pineapple graphs. Here we investigate some graph invariants like the number of spanning trees, Kirchhoff index and Laplacian-energy-like invariants of these graphs.