Name
Abstract | ||
|---|---|---|
We study the size and the external path length of random tries and show that they are asymptotically independent in the asymmetric case but strongly dependent with small periodic fluctuations in the symmetric case. Such an unexpected behavior is in sharp contrast to the previously known results that the internal path length is totally positively correlated to the size and that both tend to the same normal limit law. These two examples provide concrete instances of bivariate normal distributions (as limit laws) whose correlation is 0, 1 and periodically oscillating. |
Year | Venue | Field |
|---|---|---|
2016 | arXiv: Combinatorics | Discrete mathematics,Limit of a function,Oscillation,Combinatorics,Path length,Multivariate normal distribution,Periodic graph (geometry),Mathematics |
DocType | Volume | Citations |
Journal | abs/1604.08658 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Michael Fuchs | 1 | 52 | 8.98 |
| Hsien-Kuei Hwang | 2 | 365 | 38.02 |