Benzenoid links. (English) Zbl 1197.92058
Summary: We study new configurations of benzenoid hydrocarbons, called benzenoid links. Roughly speaking, a primitive corofusene is a closed narrow hexagonal ribbon with out-of-plane curvature 0. A primitive corofusene or the union of disjoint primitive corofusenes in \({\mathbb{R}^{3}}\) is called a benzenoid link. We determine the minimum number of hexagons needed for a nontrivial benzenoid link in different senses. We also determine the structures of the smallest and the second smallest nontrivial benzenoid links of different types and their numbers of Kekulé structures. We list all the benzenoid Hopf links of type III with 22–25 hexagons by their canonical codes in the appendix.
MSC:
| 92E10 | Molecular structure (graph-theoretic methods, methods of differential topology, etc.) |
| 51E12 | Generalized quadrangles and generalized polygons in finite geometry |
| 05C90 | Applications of graph theory |
| 52C99 | Discrete geometry |
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