𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Extremal graph characterization from the bounds of the spectral radius of weighted graphs

✍ Scribed by Kinkar Ch. Das


Book ID
108052023
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
224 KB
Volume
217
Category
Article
ISSN
0096-3003

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Extremal graph characterization from the
✍ Kinkar Ch. Das πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 214 KB

We consider weighted graphs, where the edge weights are positive definite matrices. In this paper, we obtain two upper bounds on the spectral radius of the Laplacian matrix of weighted graphs and characterize graphs for which the bounds are attained. Moreover, we show that some known upper bounds on