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Journal of the Serbian Chemical Society | Vol.64, Issue.3 | 2017-06-23 | Pages
Hyperenergetic molecular graphs
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.
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Hyperenergetic molecular graphs
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.
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