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There are totally 11 kinds of Archimedean tiling for the plane. Applying the Floquet-Bloch theory, we derive the dispersion relations of the periodic quantum graphs associated with a number of Archimedean tiling, namely the triangular tiling {$(3^6)$
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b345c2cf6c93357f32788b16a6f37e30