Topological analysis of some special classes of graphs. II. steps,ladders, cylinders |
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Authors: | Shyi-Long Lee Yeong-Nan Yeh |
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Affiliation: | (1) Department of Chemistry, National Chung-Cheng University, 621 Chin-Yi, Taiwan, ROC;(2) Institute of Mathematics, Academia Sinica Taipei, 11529 Taiwan, ROC |
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Abstract: | A general strategy is proposed for generating the eigenvectors and the eigenvalues of some special classes of graphs from the well-known chemical graphs such as lines and cycles which are isomorphic to the hydrogen-suppressed linear and cyclic polyenes. This method is applied to step graphs, ladders, cylinders, etc. Net sign analyses are then performed for all these special classes of graphs. |
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