| Abstract
| - The equivalence of the perimeter topological equations derived by Dias and the 13 possible modes of hexagonadjacency in fused benzenoid systems subsequently presented by Cyvin, Gutman, and collaborators is shown.The aufbau principle for generation of all fused total resonant sextet (TRS) benzenoid hydrocarbons isproved. The precise distinction and topological properties between fused, nonfused, strain-free, strained,helical, and nonhelical benzenoid hydrocarbons are carefully delineated. The TRS benzenoid isomers havethe maximum number of bay regions, and expressions for the number of bay regions that any given TRSbenzenoid will have are given.
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