Wavelet and Linear Algebra

Abstract Let $G$ and $H$ be simple graphs and $\left| {V(G)} \right| = n$. The corona of two graphs, denoted by $G \circ H$, is the graph obtained by taking one copy of graph $G$ and $n$ copies of $H$ and joining the ${i^{th}}$ vertex of $G$ to every vertex of the ${i^{th}}$ copy of $H$. Let $S(G)$ be the subdivision of graph $G$. In this paper we define four new subdivision coronas of two graphs and find the characteristic and Laplacian polynomials of them in case of regularity.