## The number of linear, directed, rooted, and connected graphs

HTML articles powered by AMS MathViewer

- by Frank Harary
- Trans. Amer. Math. Soc.
**78**(1955), 445-463 - DOI: https://doi.org/10.1090/S0002-9947-1955-0068198-2
- PDF | Request permission

## References

- C. M. Blair and H. R. Henze,
- Rudolf Carnap,
*Logical Foundations of Probability*, University of Chicago Press, Chicago, Ill., 1950. MR**0040253**
A. Cayley, - Robert L. Davis,
*The number of structures of finite relations*, Proc. Amer. Math. Soc.**4**(1953), 486–495. MR**55294**, DOI 10.1090/S0002-9939-1953-0055294-2
R. M. Foster, - Frank Harary and Robert Z. Norman,
*The dissimilarity characteristic of Husimi trees*, Ann. of Math. (2)**58**(1953), 134–141. MR**55693**, DOI 10.2307/1969824 - Frank Harary and Robert Z. Norman,
*The dissimilarity characteristic of linear graphs*, Proc. Amer. Math. Soc.**5**(1954), 131–135. MR**59535**, DOI 10.1090/S0002-9939-1954-0059535-8 - Frank Harary and George E. Uhlenbeck,
*On the number of Husimi trees. I*, Proc. Nat. Acad. Sci. U.S.A.**39**(1953), 315–322. MR**53893**, DOI 10.1073/pnas.39.4.315 - C. A. Hurst,
*The enumeration of graphs in the Feynman-Dyson technique*, Proc. Roy. Soc. London Ser. A**214**(1952), 44–61. MR**52332**, DOI 10.1098/rspa.1952.0149
D. König, - Richard Otter,
*The number of trees*, Ann. of Math. (2)**49**(1948), 583–599. MR**25715**, DOI 10.2307/1969046
G. Pólya, - Robert J. Riddell Jr.,
*The number of Feynman diagrams*, Phys. Rev. (2)**91**(1953), 1243–1248. MR**58499** - R. J. Riddell Jr. and G. E. Uhlenbeck,
*On the theory of the virial development of the equation of state of mono-atomic gases*, J. Chem. Phys.**21**(1953), 2056–2064. MR**59207**, DOI 10.1063/1.1698742 - John Riordan and C. E. Shannon,
*The number of two-terminal series-parallel networks*, J. Math. Phys. Mass. Inst. Tech.**21**(1942), 83–93. MR**7511**, DOI 10.1002/sapm194221183
H. Seifert and W. Threlfall,

*The number of structural isomers of the more important types of aliphatic compounds*, Journal of the American Chemical Society vol. 56 (1934) p. 157.

*Collected mathematical papers*, Cambridge, 1889-1898, vol. 3, pp. 242-246 and vol. 11, pp. 365-367.

*The number of series-parallel networks*, Proceedings of the International Congress of Mathematicians, 1950, vol. 1, 1952, p. 646. F. Harary and R. Z. Norman,

*Graph theory as a mathematical model in social science*, Research Center for Group Dynamics, Monograph No. 2, Ann Arbor, 1953.

*Theorie der endlichen und unendlichen graphen*, Leipzig, 1936, reprinted, New York, 1950. A. C. Lunn and J. K. Senior,

*Isomerism and configuration*, J. Phys. Chem. vol. 33 (1929) pp. 1027-1079. R. Z. Norman,

*On the number of linear graphs with given blocks*, Doctoral dissertation, University of Michigan, 1954.

*Kombinatorische Anzahlbestimmungen für Gruppen, Graphen, und chemische Verbindungen*, Acta Math. vol. 68 (1937) pp. 145-254. R. J. Riddell,

*Contributions to the theory of condensation*, Doctoral dissertation, Department of Physics, University of Michigan, 1951.

*Lehrbuch der Topologie*, Leipzig, 1934; reprinted New York, 1947. G. E. Uhlenbeck,

*Some basic problems of statistical mechanics*, Gibbs Lecture, American Mathematical Society, December 1950.

## Bibliographic Information

- © Copyright 1955 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**78**(1955), 445-463 - MSC: Primary 56.0X
- DOI: https://doi.org/10.1090/S0002-9947-1955-0068198-2
- MathSciNet review: 0068198