Graphs and matrices of maximal energy

Details Graphs and matrices of maximal energy Graphs and matrices of maximal energy

2006-03-30

arxiv.org/abs/math/0603725v1

Mathematics

Combinatorics

Scientific paper

Call the sum of the singular values of a matrix A the energy of A. We
investigate graphs and matrices of energy close to the maximal one. We prove a
conjecture of Koolen and Moulten and give a stability theorem characterizing
all square nonnegative matrices and all graphs with energy close to the maximal
one. In particular, such graphs are quasi-random.

Affiliated with

Also associated with

No associations

Rating

Graphs and matrices of maximal energy does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Graphs and matrices of maximal energy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Graphs and matrices of maximal energy will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-332529