| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4599811 | Linear Algebra and its Applications | 2014 | 8 Pages |
Abstract
The Randić matrix R=(rij) of a graph G whose vertex vi has degree di is defined by if the vertices vi and vj are adjacent and rij=0 otherwise. The Randić energy RE is the sum of absolute values of the eigenvalues of R. RE coincides with the normalized Laplacian energy and the normalized signless-Laplacian energy. Several properties or R and RE are determined, including characterization of graphs with minimal RE. The structure of the graphs with maximal RE is conjectured.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
