Name
Abstract | ||
|---|---|---|
We study a generalization of the concept of succession rule, called jumping succession rule, where each label is allowed to produce its sons at different levels, according to the production of a fixed succession rule. By means of suitable linear algebraic methods, we obtain simple closed forms for the numerical sequences determined by such rules and give applications concerning classical combinatorial structures. Some open problems are proposed at the end of the paper. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1016/S0012-365X(02)00868-3 | Discrete Mathematics |
Keywords | Field | DocType |
lucas’ identity,rule operator,succession rule,lucas' identity,fibonacci numbers,fibonacci number,generating function,linear algebra | Graph theory,Generating function,Discrete mathematics,Combinatorics,Algebraic number,Algebra,Jumping,Enumeration,Ecological succession,Mathematics,Fibonacci number | Journal |
Volume | Issue | ISSN |
271 | 1-3 | Discrete Mathematics |
Citations | PageRank | References |
7 | 0.56 | 5 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Luca Ferrari | 1 | 47 | 10.50 |
| Elisa Pergola | 2 | 149 | 18.60 |
| Renzo Pinzani | 3 | 341 | 67.45 |
| Simone Rinaldi | 4 | 174 | 24.93 |