European Journal of Molecular & Clinical Medicine2515-82607820210119Energy Of Chemical Graphs With Adjacency Rhotrix430943196860ENR. BhuvaneshwariResearch Scholar (FT), PG and Research Department of Mathematics,
Bishop Heber College, Trichy-620017, Tamil Nadu, IndiaV. KaladeviProfessor Emeritus, PG and Research Department of Mathematics,
Bishop Heber College, Trichy-620017, Tamil Nadu, IndiaJournal Article20210119For a connected graph Gthe characteristic polynomial of G is the determinant value of the<br />matrix A(G)-λI, where A(G) is the adjacency of the matrix of G and I is the identity matrix.<br />The roots of the characteristic polynomial equation are known as eigen values of G. The<br />sum of the absolute values of the eigen values of G is called the energy of G and the largest<br />eigen value is the spectral radius of G. Energies of molecular graphs have various<br />applications in chemistry, polymerization, computer networking and pharmacy. In this<br />paper we present the characteristic polynomial of certain graphs in terms of recurrence<br />relation. Moreover we introduce a method to find the characteristic polynomial of a graph<br />with single vertex deletion using adjacency Rhotrix.https://ejmcm.com/article_6860_56a4f2fc77740231d6463ac092e79af4.pdf