Various polynomials associated to graphs involving splice and link structures

Abstract

Cones are the graph structures involving an universal vertex, which is adjacent to all other vertices. Splice and link structures of graphs involving cones, which are formed by using regular graphs, can be viewed in terms of joined union of graphs. The current work is about polynomials associated to adjacency, Laplacian and signless Laplacian matrix for graphs involving cones. Significantly it is noted that, results due to adjacency polynomial of splice and link structure of cones are generalizations of those due to structures involving complete graphs, which are available in the literature.