Skip to main content
Log in

Kombinatorische Anzahlbestimmungen in Relationen

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literatur

  1. Bollobas, B.: On generalized graphs. Acta Math. Hung.16, 447–452 (1965).

    Google Scholar 

  2. De Bruijn, N. G.: Polay's theory of counting. In:Beckenbach (ed.), Applied combinatorial mathematics, p. 144–184. New York-London-Sidney: Wiley 1964.

    Google Scholar 

  3. Cayley, A.: On the analytical forms called trees. Am. J. Math.4, 266–268 (1881).

    Google Scholar 

  4. Davis, R. L.: The number of structures of finite relations. Proc. Am. Math. Soc.4, 486–495 (1953).

    Google Scholar 

  5. Ford, G. W., andG. E. Uhlenbeck: Combinatorial problems in the theory of graphs, I bis IV. Proc. Nat. Acad. Sci. U.S.42, 122–128, 203–208 (mitR. Z. Normann), 529–535 (1956) und43, 163–167 (1957).

    Google Scholar 

  6. Harary, F.: The number of linear, directed, rooted and connected graphs. Trans. Am. Math. Soc.78, 445–463 (1955).

    Google Scholar 

  7. —— Note on an enumeration theorem of Davis and Slepian. Michigan J. Math.3, 149–153 (1955/56).

    Google Scholar 

  8. —— Note on Carnap's relational asymptotic relative frequencies. J. Symb. Logic23, 257–260 (1958).

    Google Scholar 

  9. —— Unsolved problems in the enumeration of graphs. Publ. Math. Inst. Hung. Acad. Sc. Ser. A5, 63–95 (1960).

    Google Scholar 

  10. Henze, H. R., andC. M. Blair: The number of structural isomers of the more important types of aliphatic compounds. J. Am. Chem. Soc.56, 157 (1934).

    Google Scholar 

  11. Lunn, A. C., andJ. K. Senior: Isomerism and configuration. J. Phys. Chem.33, 1027–1079 (1929).

    Google Scholar 

  12. Lupanov, O. B.: Über asymptotische Abschätzungen der Zahl von Graphen und Netzen mitn Kanten. (R): Prob. Kibernet.4, 5–21 (1960) (Russ.). (D): Dt. Übersetzung in: Probl. Kybern.4, 3–22 (1964).

    Google Scholar 

  13. Oberschelp, W.: Zykelindices induzierter Permutationsgruppen. Nachr. Öster. Math. Ges.19 (1965): Sonderheft VI. Öster. Math. Kongr. Graz 1964, S. 18.

  14. —— Kombinatorik. In: Fischer Lexikon, Bd. 29/2 (Mathematik 2), Hrsg.v. H. Behnke undH. Tietz, S. 142–168. Frankfurt: Fischer 1966.

    Google Scholar 

  15. Polya, G.: Kombinatorische Anzahlbestimmungen für Gruppen, Graphen und chemische Verbindungen. Acta Math.68, 145–254 (1937).

    Google Scholar 

  16. Riddell, R. J., andG. E. Uhlenbeck: On the theory of the virial development of state of monoatomic gases. J. Chem. Phys.21, 2056–2064 (1953).

    Google Scholar 

  17. Riordan, J.: An introduction to combinatorial analysis, 244 S. New York: Wiley 1958.

    Google Scholar 

  18. Slepian, D.: Number of types of linear graphs. Techn. Mem. Bell Teleph. Lab., June 22, 1953.

  19. Uhlenbeck, G. E., andG. W. Ford: Theory of linear graphs with application to the theory of the virial development of the properties of gases. In: Studies in Statistical Mechanics1, 123–211 (1962) (Hrsg.J. de Boer undG. E. Uhlenbeck).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Erster Teil einer Arbeit, die von der Fakultät für Natur- und Geisteswissenschaften der Technischen Hochschule Hannover als Habilitationsschrift angenommen wurde.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Oberschelp, W. Kombinatorische Anzahlbestimmungen in Relationen. Math. Ann. 174, 53–78 (1967). https://doi.org/10.1007/BF01363123

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01363123

Navigation