On the sum of squares of degrees and products of adjacent degrees

Hua Wang; Shuai Yuan

doi:10.1016/j.disc.2015.11.013

On the sum of squares of degrees and products of adjacent degrees

Hua Wang
, Shuai Yuan

Mathematical Sciences

University of South Carolina

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

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.

Original language	English
Pages (from-to)	1212-1220
Number of pages	9
Journal	Discrete Mathematics
Volume	339
Issue number	4
DOIs	https://doi.org/10.1016/j.disc.2015.11.013
State	Published - Apr 6 2016

Scopus Subject Areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

Keywords

Difference
Trees
Zagreb index

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10.1016/j.disc.2015.11.013

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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.",

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AB - 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.

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KW - Trees

KW - Zagreb index

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DO - 10.1016/j.disc.2015.11.013

M3 - Article

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JO - Discrete Mathematics

JF - Discrete Mathematics

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On the sum of squares of degrees and products of adjacent degrees

Abstract

Scopus Subject Areas

Keywords

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