Mathematical Sciences: Faculty Publications
On the Sum of Squares of Degrees and Products of Adjacent Degrees
Document Type
Article
Publication Date
4-6-2016
Publication Title
Discrete Mathematics
DOI
10.1016/j.disc.2015.11.013
ISSN
0012-365X
Abstract
The sum of the squares of the degrees of vertices and the sum of the products of degrees of adjacent vertices have been introduced as topological indices. They are of interest from both applied and pure mathematical points of view. Given their close relations and rather similar behaviors, we examine the difference between these two indices in this note, presenting extremal results as well as some interesting properties.
Recommended Citation
Wang, Hua, Shuai Yuan.
2016.
"On the Sum of Squares of Degrees and Products of Adjacent Degrees."
Discrete Mathematics, 339 (4): 1212-1220.
doi: 10.1016/j.disc.2015.11.013
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/708
Copyright
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