Abstract
A regular polyhedron is isomorphic to a cluster on which every face has same number of bonds and every atom has an equal number of coordinating atoms. A general strategy for generating the eigenvectors and the eigenvalues of regular polyhedra is given. Not sign analyses are also performed on the eigenvectors of regular polyhedra. The results provide us a quick way to grasp the topological feature of the electronic structure of clusters having interesting topology.
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Lee, SL., Luo, YL. & Yeh, YN. Topological analysis of some special graphs: III. Regular polyhedra. J Clust Sci 2, 219–229 (1991). https://doi.org/10.1007/BF00702829
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DOI: https://doi.org/10.1007/BF00702829