Topological analysis of some special graphs: III. Regular polyhedra |
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Authors: | Shyi-Long Lee Yeung-Long Luo Yeong-Nan Yeh |
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Affiliation: | (1) Institute of Chemistry, Academia Sinica, Taipei, Taiwan, Republic of China;(2) Institute of Mathematics, Academia Sinica, Taipei, Taiwan, Republicof China |
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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. 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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Keywords: | Atomic cluster cluster bonding cluster structure |
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