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Topological analysis of some special graphs. III. Regular polyhedra

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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. Net 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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Authors and Affiliations

  1. Institute of Chemistry, Academia Sinica, Taipei, Taiwan 11529, Republic of China

    Shyi-Long Lee & Yeung-Long Luo

  2. Institute of Mathematics, Academia Sinica, Taipei, Taiwan, Republic of China

    Yeong-Nan Yeh

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  1. Shyi-Long Lee
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  2. Yeung-Long Luo
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Lee, SL., Luo, YL. & Yeh, YN. Topological analysis of some special graphs. III. Regular polyhedra. J Clust Sci 2, 105–116 (1991). https://doi.org/10.1007/BF00702951

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