Name
Abstract | ||
|---|---|---|
Mallows and Shapiro, (J. Integer Sequences2 (1999)) have recently considered what they dubbed the problem of balls on the lawn. Our object is to explore a natural generalization, the s-tennis ball problem, which reduces to that considered by Mallows and Shapiro in the case s=2. We show how this generalization is connected with s-ary trees, and employ the notion of generating trees to obtain a solution expressed in terms of generating functions. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1006/jcta.2002.3273 | Journal of Combinatorial Theory, Series A |
Keywords | Field | DocType |
s-ary trees,generating trees,generating functions. | Integer,Discrete mathematics,Generating function,Combinatorics,Ball (bearing),Mathematics | Journal |
Volume | Issue | ISSN |
99 | 2 | 0097-3165 |
Citations | PageRank | References |
5 | 1.69 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| D. Merlini | 1 | 23 | 4.19 |
| R. Sprugnoli | 2 | 53 | 10.81 |
| M.C. Verri | 3 | 29 | 22.46 |