| Title:
|
A sharp upper bound for the spectral radius of a nonnegative matrix and applications (English) |
| Author:
|
You, Lihua |
| Author:
|
Shu, Yujie |
| Author:
|
Zhang, Xiao-Dong |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
66 |
| Issue:
|
3 |
| Year:
|
2016 |
| Pages:
|
701-715 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We obtain a sharp upper bound for the spectral radius of a nonnegative matrix. This result is used to present upper bounds for the adjacency spectral radius, the Laplacian spectral radius, the signless Laplacian spectral radius, the distance spectral radius, the distance Laplacian spectral radius, the distance signless Laplacian spectral radius of an undirected graph or a digraph. These results are new or generalize some known results. (English) |
| Keyword:
|
nonnegative matrix |
| Keyword:
|
spectral radius |
| Keyword:
|
graph |
| Keyword:
|
digraph |
| MSC:
|
05C50 |
| MSC:
|
15A18 |
| idZBL:
|
Zbl 06644028 |
| idMR:
|
MR3556862 |
| DOI:
|
10.1007/s10587-016-0287-5 |
| . |
| Date available:
|
2016-10-01T15:18:15Z |
| Last updated:
|
2023-10-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/145866 |
| . |
| Reference:
|
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