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Enumeration of substitutional isomers with restrictive mutual positions of ligands. II. Counts with restrictions on (sub)symmetry
| Content Provider | Semantic Scholar |
|---|---|
| Author | Rosenfeld, Vladimir R. Klein, D. J. |
| Copyright Year | 2012 |
| Abstract | The present paper extends our previous discussion of paper I on “Overall Counts”, still focusing on enumerations of substitutional isomers with restrictive positioning of ligands. But now, we address the counts of such isomers with a specified subsymmetry of the symmetry of the parent skeleton. Constrained analogs of Pólya's cycle index still appear, but now we introduce more powerful technical tools to include subsymmetry-specified generalizations of the cycle index. This involves differential-operator approach for analytically treating newly derived hybrids of the the generalized cycle index and suitable F-polynomials. As a simple illustration of the general mathematical exposition, a specific problems are solved and some tasks for possible further consideration are also stated, where again the Maple symbolic manipulation package proves useful. |
| Starting Page | 239 |
| Ending Page | 264 |
| Page Count | 26 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s10910-012-0076-9 |
| Volume Number | 51 |
| Alternate Webpage(s) | https://page-one.springer.com/pdf/preview/10.1007/s10910-012-0076-9 |
| Alternate Webpage(s) | https://doi.org/10.1007/s10910-012-0076-9 |
| Journal | Journal of Mathematical Chemistry |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
