268 research outputs found
A majorization method for localizing graph topological indices
This paper presents a unified approach for localizing some relevant graph
topological indices via majorization techniques. Through this method, old and
new bounds are derived and numerical examples are provided, showing how former
results in the literature could be improved.Comment: 11 page
On the Randi\'{c} index and conditional parameters of a graph
The aim of this paper is to study some parameters of simple graphs related
with the degree of the vertices. So, our main tool is the matrix
whose ()-entry is where denotes the degree of the vertex . We study
the Randi\'{c} index and some interesting particular cases of conditional
excess, conditional Wiener index, and conditional diameter. In particular,
using the matrix or its eigenvalues, we obtain tight bounds on the
studied parameters.Comment: arXiv admin note: text overlap with arXiv:math/060243
- …