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2 - Trees

Published online by Cambridge University Press:  05 June 2012

Guy Even
Affiliation:
Tel-Aviv University
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Graph Algorithms , pp. 29 - 45
Publisher: Cambridge University Press
Print publication year: 2011

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References

[1] Prim, R.C., “Shortest Connection Networks and Some Generalizations,” Bell System Tech. J., Vol. 36, 1957, pp. 1389–1401.CrossRefGoogle Scholar
[2] Kruskal, J.B., “On the Shortest Spanning Subtree of a Graph and the Traveling Salesman Problem,” Proc. of the Amer. Math. Society, Vol. 7, 1956, pp. 48–50.CrossRefGoogle Scholar
[3] Cayley, A., “A Theorem on Trees,” Quart. J. Math., Vol. 23, pp. 376–378. Also in Collected Papers, Vol. 13, Cambridge, 1897, pp. 26–28.Google Scholar
[4] Prüfer, H., “Neuer Beweise eines Satzes über Permutationen,” Arch. Math. Phys., Vol. 27, 1918, pp. 742–744.Google Scholar
[5] Moon, J.W., “Various Proofs of Cayley's Formula for Counting Trees,” A Seminar on Graph Theory, F., Harary (ed.), Holt, Rinehart and Winston, , 1967, pp. 70–78.
[6] Berge, C., and A., Ghouila-Houri, Programming, Games and Transportation Networks, Wiley, 1965, Sec. 7.4.Google Scholar
[7] König, D., Theorie der endlichen und unendlichen Graphen, Liepzig, 1936. Reprinted by Chelsea, 1950.Google Scholar
[8] Wang, H., “Proving Theorems by Pattern Recognition,” Bell System Tech. J., Vol. 40, 1961, pp. 1–41.CrossRefGoogle Scholar

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  • Trees
  • Shimon Even
  • Edited by Guy Even, Tel-Aviv University
  • Book: Graph Algorithms
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139015165.005
Available formats
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  • Trees
  • Shimon Even
  • Edited by Guy Even, Tel-Aviv University
  • Book: Graph Algorithms
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139015165.005
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Trees
  • Shimon Even
  • Edited by Guy Even, Tel-Aviv University
  • Book: Graph Algorithms
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9781139015165.005
Available formats
×