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Isospectral graphs and molecules

✍ Scribed by W.C. Herndon; M.L. Ellzey Jr.


Publisher
Elsevier Science
Year
1975
Tongue
French
Weight
637 KB
Volume
31
Category
Article
ISSN
0040-4020

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We discuss a discrete version of Sunada's Theorem on isospectral manifolds, which allows the generation of isospectral simple graphs, i.e., nonisomorphic simple graphs that have the same Laplace spectrum. We also consider additional boundary conditions and Buser's transplantation technique applied t

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## Ε½ It is shown that if a pair of alternant molecules are isospectral they have identical energy . spectra in the topological-Huckel-approximation they are also isospectral, taking into Γ€ccount the electron correlation. The proof is given in the AMO approximation using a Hubbard Hamiltonian.