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Statistics on Random Trees (1991)  (Make Corrections)  (2 citations)
R. Casas, J. Díaz, C. Martinez
Automata, Languages, and Programming



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Abstract: In this paper we give a survey of the symbolic operator methods to do statistics on random trees. We present some examples and apply the techniques to find their asymptotic behaviour. 1 Introduction Let us consider a class E of combinatorial objects, let A be an algorithm defined over the class E, and let denote the complexity measure we are interested in. Such a class E of combinatorial objects consists on a set, usually denoted by the same name as the class, and a size measure j \Delta j ... (Update)

Context of citations to this paper:   More

.... [76, 2] simplification [10] unification [1] common subexpression factorization [34] and term rewriting techniques [11] See also [9] for an interesting survey. Another important case of application is to the Cayley function y = ze y . This function shows up in the...

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Asymptotic Enumeration Methods - Odlyzko (1996)   (Correct)
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BibTeX entry:   (Update)

Casas, R., Diaz, J., and Martinez, C. Statistics on random trees. In Automata, Languages, and Programming (1991), J. Leach Albert et al., Ed., vol. 510 of Lecture Notes in Computer Science, pp. 186--203. Proceedings of the 18th ICALP Conference, Madrid, July 1991. http://citeseer.ist.psu.edu/257799.html   More

@inproceedings{ casas91statistics,
    author = "R. Casas and J. Diaz and C. Martinez",
    title = "Statistics on Random Trees",
    booktitle = "Automata, Languages, and Programming",
    volume = "510",
    editor = "J. {Leach~Albert et al.}",
    pages = "186--203",
    year = "1991",
    url = "citeseer.ist.psu.edu/257799.html" }
Citations (may not include all citations):
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1749   An Introduction to Probability Theory and its Applications (context) - Feller - 1968
634   A machine-oriented logic based on the resolution principle (context) - Robinson - 1965
442   Concrete Mathematics (context) - Graham, Knuth et al. - 1989
346   Multidimensional binary search trees used for associative se.. (context) - Bentley - 1975
306   Methods of Mathematical Physics (context) - Courant, Hilbert - 1962
172   Applied and Computational Complex Analysis (context) - Henrici - 1977
157   The Art of Computer Programming: Sorting and Searching (context) - Knuth - 1973
157   Advanced Combinatorics (context) - Comtet - 1974
154   Combinatorial Enumerations (context) - Goulden, Jackson - 1983
151   Singularity analysis of generating functions (context) - Flajolet, Odlyzko - 1990
98   Asymptotics and Special Functions (context) - Olver - 1974
85   Mathematics for the Analysis of Algorithms (context) - Greene, Knuth - 1982
70   Average-case analysis of algorithms and data structures - Vitter, Flajolet - 1990
66   The Art of Computer Programming: Fundamental Algorithms (context) - Knuth - 1968
61   Oxford University Press (context) - Titchmarsh, of - 1939
51   Ordinary Differential Equations (context) - Ince - 1956
42   A note on the height of binary search trees (context) - Devroye - 1986
35   The average height of binary trees and other simple trees (context) - Flajolet, Odlyzko - 1982
34   Data structures (context) - Mehlhorn, Tsakalidis - 1990
33   Asymptotic Methods in Analysis (context) - De Bruijn - 1981
26   Rinehart and Winston (context) - Purdom, Brown et al. - 1985
21   Oxford University Press (context) - Hardy - 1949
13   Asymptotic expansions for the coefficients of analytic funct.. (context) - Harris, Schoenfeld - 1968
13   Mathematical methods in the analysis of algorithms and data .. (context) - Flajolet - 1988
13   Patterns and pattern-matching in trees: An analysis (context) - Steyaert, Flajolet - 1983
13   A generalization of stirling's formula (context) - Hayman - 1956
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9   The Average Height of Planted Plane Trees (context) - De Bruijn, Knuth et al. - 1972
9   Analytic variations on the common subexpression problem - Flajolet, Sipala et al. - 1990
8   Analyse d'algorithmes de manipulation d'arbres et de fichier.. (context) - Flajolet - 1981
6   the average internal path length of m-ary search trees (context) - Mahmoud - 1986
5   the most probable shape of a search tree grown from a random.. (context) - Mahmoud, Pittel - 1984
5   Random tree models in the analysis of algorithms (context) - Flajolet - 1987
4   Partial Differential Equations (context) - Copson - 1975
4   Texts and Monographs in Computer Science (context) - Hofri, of - 1987
4   Average-case analysis of Robinson's unification algorithm wi.. (context) - Casas, D'iaz et al. - 1989
3   Lambda-upsilon-omega the 1989 cookbook - Flajolet, Salvy et al. - 1989
2   Bottom-up recursion in trees (context) - Casas, Steyaert - 1986
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1   Annals of Discrete Mathematics (context) - Casas, D'iaz et al. - 1985
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