# Discrete Mathematics & Theoretical Computer Science

## Volume 5 n° 1 (2002), pp. 1-16

author: | Markus E. Nebel |
---|---|

title: | The Stack-Size of Combinatorial Tries Revisited |

keywords: | Tries, Blockcodes, Stack-Size, Analytical Combinatorics |

abstract: | In the present paper we consider a generalized class of extended binary trees in which leaves are distinguished in order to represent the location of a key within a trie of the same structure. We prove an exact asymptotic equivalent to the average stack-size of trees with α internal nodes and β leaves corresponding to keys; we assume that all trees with the same parameters α and β have the same probability. The assumption of that uniform model is motivated for example by the usage of tries for the compression of blockcodes. Furthermore, we will prove asymptotics for the r-th moments of the stack-size and we will show that a normalized stack-size possesses a theta distribution in the limit.
If your browser does not display the abstract correctly (because of the different mathematical symbols) you can look it up in the PostScript or PDF files. |

reference: | Markus E. Nebel (2002),
The Stack-Size of Combinatorial Tries Revisited,
Discrete Mathematics and Theoretical Computer Science 5, pp. 1-16 |

bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |

ps.gz-source: | dm050101.ps.gz (107 K) |

ps-source: | dm050101.ps (337 K) |

pdf-source: | dm050101.pdf (181 K) |

The first *source* gives you the `gzipped' PostScript, the second the plain
PostScript and the third the format for the Adobe accrobat
reader. Depending on the installation of your web browser, at least
one of these should (after some amount of time) pop up a window for
you that shows the full article. If this is not the case, you should
contact your system administrator to install your browser correctly.

Due to limitations of your local software, the two formats may show up differently on your screen. If eg you use xpdf to visualize pdf, some of the graphics in the file may not come across. On the other hand, pdf has a capacity of giving links to sections, bibliography and external references that will not appear with PostScript.

Automatically produced on Thu Jan 24 21:14:49 CET 2002 by ifalk