Name
Abstract | ||
|---|---|---|
The scrambling index of an n x n, primitive matrix A is the smallest positive integer k such that A(k)(A(T))(k) > 0, where A(T) denotes the transpose of A. In 2009, M. Akelbek, and S. Kirkland gave an upper bound on the scrambling index of an n x n primitive matrix M in terms of its order n, and they also characterized the primitive matrices that achieve the upper bound. In this paper, we characterize primitive matrix which achieves the second largest scrambling index in terms of its order. Meanwhile we show that there exists gap in scrambling index set of primitive matrices. |
Year | Venue | Keywords |
|---|---|---|
2014 | ARS COMBINATORIA | Scrambling index,Primitive matrix |
Field | DocType | Volume |
Discrete mathematics,Combinatorics,Scrambling,Matrix (mathematics),Mathematics | Journal | 113 |
ISSN | Citations | PageRank |
0381-7032 | 0 | 0.34 |
References | Authors | |
0 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yanling Shao | 1 | 4 | 4.96 |
| Yu-Bin Gao | 2 | 6 | 7.70 |