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The average height of r-tuply rooted planted plane trees. (English) Zbl 0433.05024


MSC:

05C05 Trees
60C05 Combinatorial probability
05-04 Software, source code, etc. for problems pertaining to combinatorics
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[1] Abramowitz, M., Stegun, I. A.: Handbook of mathematical functions. New York: Dover Publications 1970. · Zbl 0171.38503
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[3] De Bruijn, N. G., Knuth, D. E., Rice, S. O.: The average height of planted plane trees, in: Graph theory and computing (R. C. Read, ed.), pp. 15–22. New York-London: Academic Press 1972. · Zbl 0247.05106
[4] Flajolet, Ph., Raoult, J. C., Vuillemin, J.: On the average number of registers required for evaluating arithmetic expressions. IRIA Rapport de Recherche, No. 228 (1977). · Zbl 0407.68057
[5] Kemp, R.: The average number of registers needed to evaluate a binary tree optimally. Acta Informatica11, 363–372 (1979). · Zbl 0395.68059 · doi:10.1007/BF00289094
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[10] Kuich, W., Prodinger, H., Urbanek, F. J.: On the height of derivation trees, in: Proc. of the 6th international colloquium on automata, languages and programming (ICALP 79), pp. 370–384. Berlin-Heidelberg-New York: Springer 1979. · Zbl 0409.68042
[11] Munro, I.: Random walks in binary trees. CS-Dept., University of Waterloo, 1976. · Zbl 0339.68040
[12] Prodinger, H.: The average maximal lead position of a Ballot sequence. Preprint, Technische Universität Wien, 1979.
[13] Riordan, J.: Combinatorial identities. New York: Wiley 1968. · Zbl 0194.00502
[14] Ruskey, F., Hu, T. C.: Generating binary trees lexicographically. Siam J. Comput.6, 745–758 (1977). · Zbl 0366.68027 · doi:10.1137/0206055
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