A new distribution to do statistics on k-ary trees
In this paper we study distributions on k-ary trees, which from the point of doing statistics on trees, they behave in a more realistic way than the usual uniform distribution. In particular, we choose a distribution for which the results are very different from those obtained under the uniform dist...
| Autores: | , , |
|---|---|
| Tipo de recurso: | informe técnico |
| Fecha de publicación: | 1990 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/370252 |
| Acceso en línea: | https://hdl.handle.net/2117/370252 |
| Access Level: | acceso abierto |
| Palabra clave: | Trees (Graph theory) Arbres (Teoria de grafs) Àrees temàtiques de la UPC::Informàtica |
| Sumario: | In this paper we study distributions on k-ary trees, which from the point of doing statistics on trees, they behave in a more realistic way than the usual uniform distribution. In particular, we choose a distribution for which the results are very different from those obtained under the uniform distribution. Using the new distribution, the analysis itself is a lot more complex, but feasible. We ilustrate our point by working out a particular simple case of study; the computation of the average size of the inersection of two k-ary trees. The development of this analysis involves Bessel functions which appear in the solutions of partial differential equations, and the result is an average size of c·n^¿/v(ln¿n )·(1+0(1/ln¿¿n)), where a and c are constants depending only on the arity of the tree. This result contrasts with the unrealistic 0(1) obtained as solution when considering a uniform distribution. |
|---|