𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A characterization on graphs which achieve the upper bound for the largest Laplacian eigenvalue of graphs

✍ Scribed by Kinkar Ch. Das


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
215 KB
Volume
376
Category
Article
ISSN
0024-3795

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