𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On thek-th largest eigenvalue of the Laplacian matrix of a graph

✍ Scribed by Zhang Xiaodong; Li Jiongsheng


Book ID
110611681
Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2001
Tongue
English
Weight
360 KB
Volume
17
Category
Article
ISSN
0168-9673

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


A sharp upper bound on the largest Lapla
✍ Kinkar Ch. Das; R.B. Bapat πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 217 KB

We consider weighted graphs, where the edge weights are positive definite matrices. The Laplacian of the graph is defined in the usual way. We obtain an upper bound on the largest eigenvalue of the Laplacian and characterize graphs for which the bound is attained. The classical bound of Anderson and