𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Improved bounds for the Laplacian energy of Bethe trees

✍ Scribed by Marı´a Robbiano; Raúl Jiménez


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
147 KB
Volume
432
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Bounds for the signless Laplacian energy
✍ Nair Abreu; Domingos M. Cardoso; Ivan Gutman; Enide A. Martins; Marı´a Robbiano 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 233 KB
Lower bounds for the eigenvalues of Lapl
✍ Abraham Berman; Xiao-Dong Zhang 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 70 KB

We give a lower bound for the second smallest eigenvalue of Laplacian matrices in terms of the isoperimetric number of weighted graphs. This is used to obtain an upper bound for the real parts of the nonmaximal eigenvalues of irreducible nonnegative matrices.