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

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

19 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	American English
Journal	Discrete Mathematics
Volume	339
DOIs	https://doi.org/10.1016/j.disc.2015.11.013
State	Published - Apr 6 2016

Keywords

Adjacent Degrees
Degrees
Sum of Squares

DC Disciplines

Education
Mathematics

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https://doi.org/10.1016/j.disc.2015.11.013

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title = "On the Sum of Squares of Degrees and Products of Adjacent Degrees",

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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AU - Wang, Hua

AU - Yuan, Shuai

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Y1 - 2016/4/6

N2 - 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.

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.

KW - Adjacent Degrees

KW - Degrees

KW - Sum of Squares

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/708

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U2 - 10.1016/j.disc.2015.11.013

DO - 10.1016/j.disc.2015.11.013

M3 - Article

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VL - 339

JO - Discrete Mathematics

JF - Discrete Mathematics

ER -

On the Sum of Squares of Degrees and Products of Adjacent Degrees

Abstract

Keywords

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