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  • Cayley sum graphs and eigenvalues of ▫$(3,6)$▫-fullerenes = Elektronski vir
    DeVos, Matt ...
    We determine the spectra of cubic plane graphs whose faces have sizes 3 and 6. Such graphs, "(3,6)-fullerenes", have been studied by chemists who are interested in their energy spectra. In particular ... we prove a conjecture of Fowler, which asserts that all their eigenvalues come in pairs of the form ▫$\{\lambda,-\lambda\}$▫ except for the four eigenvalues ▫$\{3,-1,-1,-1\}$▫. We exhibit other families of graphs which are "spectrally nearly bipartite" in this sense. Our proof utilizes a geometric representation to recognize the algebraic structure of these graphs, which turn out to be examples of Cayley sum graphs.
    Vir: Preprint series. - ISSN 1318-4865 (Vol. 47, št. 1073, 2009, str. 1-15)
    Vrsta gradiva - e-članek
    Leto - 2009
    Jezik - angleški
    COBISS.SI-ID - 15049049

    Povezava(-e):

    http://www.imfm.si/preprinti/PDF/01073.pdf

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