On the extremal energy of integral weighted trees

Details On the extremal energy of integral weighted trees On the extremal energy of integral weighted trees

2011-06-29

arxiv.org/abs/1106.5940v1

Mathematics

Combinatorics

Scientific paper

Let ${\mathcal T}(n,m)$ and ${\mathcal F}(n,m)$ denote the classes of weighted trees and forests, respectively, of order $n$ with the positive integral weights and the fixed total weight sum $m$, respectively. In this paper, we determine the minimum energies for both the classes ${\mathcal T}(n,m)$ and ${\mathcal F}(n,m)$. We also determine the maximum energy for the class ${\mathcal F}(n,m)$. In all cases, we characterize the weighted graphs whose energies reach these extremal values. We also solve the similar maximum energy and minimum energy problems for the classes of (0,1) weighted trees and forests.

Affiliated with

Also associated with

No associations

Rating

On the extremal energy of integral weighted trees 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 On the extremal energy of integral weighted trees, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the extremal energy of integral weighted trees will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-359405