English

The Energy of Graphs and Matrices

Commutative Algebra 2007-05-23 v2

Abstract

We extend the concept of graph energy, introduced by Gutman, to matrices. We give upper and lower bounds on matrix energy extending previous results for graphs. In particular, we estimate the energy of almost all graphs.

Keywords

Cite

@article{arxiv.math/0603583,
  title  = {The Energy of Graphs and Matrices},
  author = {Vladimir Nikiforov},
  journal= {arXiv preprint arXiv:math/0603583},
  year   = {2007}
}

Comments

A calculation error fixed. Some more results added

R2 v1 2026-07-22T17:33:19.422Z