Hyperenergetic molecular graphs
| Author(s) : | GUTMAN IVAN, |
| Publisher : | N/A |
| Publication Date : | 1999 |
| ISSN : | N/A |
| Abstract : | If G is a molecular graph and l1, l2,..., ln are its eigenvalues, then the energy of G is equal to E(G) = ,l1,+ ,l2, + .... +,ln,. Knowing that E(G) increases with the number of edges of G, it was expected that the complete graph Kn has greates energy among all n-vertex graphs. This, however, is not so and there exist hyperenergetic graphs, i.e., graphs whose energies exceed E(Kn). It will be shovn how hyperenergetic graphs can be constructed for all n > 8., |