TOPOLOGICAL INDEXES AND REAL NUMBER VERTEX INVARIANTS BASED ON GRAPH EIGENVALUES OR EIGENVECTORS

Eigenvectors obtained from the adjacency or distance matrix of graphs, corresponding to the largest negative eigenvalue, are useful real number vertex invariants for intramolecular ordering of vertices. From them or from eigenvalues, several new topological indices have been tested on the basis of intermolecular of isomeric alkanes and of correlating ability with properties such as the boiling temperature.