| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4600812 | Linear Algebra and its Applications | 2011 | 7 Pages |
Abstract
The energy of an (edge)-weighted graph is the sum of the absolute values of the eigenvalues of its (weighted) adjacency matrix. We study how the energy of a weighted graph changes when the weights change. We give some sufficient conditions so that the energy of a weighted graph increases when the positive weight increases. We also characterize some classes of weighted graphs satisfying these sufficient conditions.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
