Facile calculations of select eigenvalues and the characteristic polynomial of small molecular graphs containing heteroatoms
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Determination of common eigenvalues by embedding smaller subgraphs onto larger ones is illustrated. A nearly universal expression of the sixth coefficient of the characteristic polynomial valid for all conjugated hydrocarbon polyenes is presented. Its use in a graph theoretical determination of the Huckel MO characteristic polynomial of molecular graphs possessing heteroatoms is detailed.
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