Spectra of regular polytopes |
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| Authors: | Nicolau C. Saldanha Carlos Tomei |
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| Affiliation: | (1) Departamento de Matemática, Pontificia Universidade Católica do Rio de Janeiro, Rua Marqués de São Vicente 225, Gávea, 22453 Rio de Janeiro, Brazil |
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| Abstract: | In this paper we compute the spectra with multiplicities of the adjancency graphs of all regular polytopes in  n: it turns out that all such eigenvalues are algebraic intergers of degree no greater than 3.Both authors receive continuous support from FINEP and CNPq, Brazil. |
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