Topological analysis of eigenvectors of the adjacency matrices in graph theory: The concept of internal connectivity Academic Article uri icon


  • The topological properties of eigenvectors of adjacency matrices of a graph have been analyzed. Model systems studied are n-vertex-m-edge (n-V-m-E) graphs where n = 2-4, m = 1-6. The topological information contained in these eigenvectors is described using vertex-signed and edge-signed graphs. Relative ordering of net signs of edge-signed graphs is similar to that of eigenvalues of the adjacency matrix. This simple analysis has also been applied to naphthalene, anthracene and pyrene. It provides a sound basis for the application of graph theory to molecular orbital theory. © 1987.

author list (cited authors)

  • Lee, S., Lucchese, R. R., & Chu, S. Y

complete list of authors

  • Lee, Shyi-Long||Lucchese, Robert R||Chu, San Yan

publication date

  • January 1, 1987 11:11 AM