Hostname: page-component-7479d7b7d-m9pkr Total loading time: 0 Render date: 2024-07-13T18:20:21.648Z Has data issue: false hasContentIssue false
  • English
  • Français

61.18 The numbers of isomers of the alkanes and the aliphatic alcohols

Published online by Cambridge University Press:  22 September 2016

Robert E. Greenwood
Robert E. Greenwood*
Affiliation:
Department of Mathematics, University of Texas, Austin, Texas 78712, USA
Get access Rights & Permissions [Opens in a new window]

Extract

I found the article Chemically, the same or different? by G. T. Woods [1] to be very interesting. On p. 253 of that article the problem of providing a formula for the number of isomers, as a function of the number n of carbon atoms, of certain molecular structures is suggested.

Type
Notes
Information
The Mathematical Gazette , Volume 61 , Issue 417 , October 1977 , pp. 220 - 223
Copyright
Copyright © Mathematical Association 1977

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Woods, G. T., Chemically, the same or different?, Mathl Gaz. 60, 247–256 (No. 414, December 1976).CrossRefGoogle Scholar
2. Cayley, A., Collected mathematical papers, Vol. 3, 242–246; Vol. 9, 202-204 and 427-460; Vol. 10, 323-330, 403-05 and 598-600; Vol. 11, 139-157 and 365-367; Vol. 12, 639-656; Vol. 13,26-28. Cambridge University Press (1889-1898).Google Scholar
3. König, Dénes, Theorie der endlichen und unendlichen Graphen. (Leipzig, 1936).Google Scholar
4. Henze, and Blair, , The number of structurally isomeric alcohols of the methanol series; The number of isomeric hydrocarbons of the methane series, J. Am. chem. Soc. 53, 3042–3046; 3077-3085.Google Scholar
5. Polya, George, Kombinatorische Anzahlbestimmungen für Gruppen, Graphen und chemische Verbindungen, Acta math., Stockh. 68, 145–253 (1937).Google Scholar
6. Otter, Richard, The number of trees, Ann. Math. 49, 583–599.Google Scholar