New Bounds For Degree Sequence Of Graphs

Let $G = (V, E)$ be a simple graph with $n$ vertices, $m$ edges, and vertex degrees $d_1, d_2, ..., d_n$. Let $d_1, d_n$ be the maximum and and minimum degree of vertices. In this paper, we present lower and upper bounds for $\sum_{i=1}^{n}d_i^{2}$ and $\sum_{i=1}^{n}d_i^{3}$ and relations betwee...

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Bibliographic Details
Main Author: Akbar Jahanbani
Format: Article
Language:English
Published: Institute of Mathematics and Computer Science of the Academy of Sciences of Moldova 2019-09-01
Series:Computer Science Journal of Moldova
Subjects:
Online Access:http://www.math.md/files/csjm/v27-n2/v27-n2-(pp188-203).pdf