Abstract Adjacency matrix A(G)=[aij] yields the graph energy, which is equal to addition of absolute values eigenvalues G. This research investigates energy class in terms another after removing a vertex. After deleting vertex, relationship between complete E[ k n ] and splitting E(S’ [ ]) discovered.

A discussion of graph energy for the AIM Workshop (October 23–27, 2006): Spectra of Families of Matrices described by Graphs, Digraphs, and Sign Patterns.

altan derivatives of polycyclic conjugated hydrocarbons were recently introduced and studied in theoretical organic chemistry. we now provide a generalization of the altan concept, applicable to any graph. several earlier noticed topological properties of altan derivatives of polycyclic conjugated hydrocarbons are shown to be the properties of all altan derivatives of all graphs. among these ar...

the degree kirchhoff index of a connected graph $g$ is defined as‎ ‎the sum of the terms $d_i,d_j,r_{ij}$ over all pairs of vertices‎, ‎where $d_i$ is the‎ ‎degree of the $i$-th vertex‎, ‎and $r_{ij}$ the resistance distance between the $i$-th and‎ ‎$j$-th vertex of $g$‎. ‎bounds for the degree kirchhoff index of the line and para-line‎ ‎graphs are determined‎. ‎the special case of regular grap...