On subspectral problem—benzenoid hydrocarbons with common eigenvalues ±1 |
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| Authors: | Y. -S. Jiang G. -Y. Chen |
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| Affiliation: | (1) Institute of Theoretical Chemistry, Jilin University, Changchun, People's Republic of China |
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| Abstract: | Summary The method for the contraction and expansion of graphs is used to treat the subspectrality of benzenoid hydrocarbons in relation to eigenvalues ±1. Counts of benzenoid hydrocarbons together with degeneracies of eigenvalues have been carried out for all species having h  7 hexagons. In addition, twelve homologous series are evaluated, and the closed results for the distribution of eigenvalues ± 1 and degeneracies in terms of the number of repeated units are tabulated. This method is universal and applicable to cases sharing other eigenvalues and to nonbenzenoid systems.Also known as Yuan-sun Kiang |
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| Keywords: | Benzenoid hydrocarbon Hü ckel theory Graph spectrum Subspectrality |
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